diff --git a/CHANGELOG.md b/CHANGELOG.md
index 5c1c34568e..d772c25927 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -6,6 +6,13 @@ and this project adheres to
 
 ## [Unreleased]
 
+### Added
+
+- cosmwasm-std: Add testing macro `assert_approx_eq!` for comparing two integers
+  to be relatively close to each other ([#1417]).
+
+[#1417]: https://github.com/CosmWasm/cosmwasm/issues/1417
+
 ## [1.1.1] - 2022-09-15
 
 ### Fixed
diff --git a/contracts/hackatom/tests/integration.rs b/contracts/hackatom/tests/integration.rs
index 03be6e6859..84bdf53153 100644
--- a/contracts/hackatom/tests/integration.rs
+++ b/contracts/hackatom/tests/integration.rs
@@ -18,8 +18,8 @@
 //! 4. Anywhere you see query(&deps, ...) you must replace it with query(&mut deps, ...)
 
 use cosmwasm_std::{
-    coins, from_binary, to_vec, Addr, AllBalanceResponse, BankMsg, Binary, ContractResult, Empty,
-    Response, SubMsg,
+    assert_approx_eq, coins, from_binary, to_vec, Addr, AllBalanceResponse, BankMsg, Binary,
+    ContractResult, Empty, Response, SubMsg,
 };
 use cosmwasm_vm::{
     call_execute, from_slice,
@@ -405,9 +405,7 @@ fn execute_allocate_large_memory() {
     // Gas consumption is relatively small
     // Note: the exact gas usage depends on the Rust version used to compile Wasm,
     // which we only fix when using rust-optimizer, not integration tests.
-    let expected = 4413600000; // +/- 20%
-    assert!(gas_used > expected * 80 / 100, "Gas used: {}", gas_used);
-    assert!(gas_used < expected * 120 / 100, "Gas used: {}", gas_used);
+    assert_approx_eq!(gas_used, 4413600000, "0.2");
     let used = deps.memory_pages();
     assert_eq!(used, pages_before + 48, "Memory used: {} pages", used);
     pages_before += 48;
diff --git a/packages/std/src/deps.rs b/packages/std/src/deps.rs
index 7d6d0cdca3..4d9a9ecdce 100644
--- a/packages/std/src/deps.rs
+++ b/packages/std/src/deps.rs
@@ -74,7 +74,7 @@ impl<'a, C: CustomQuery> DepsMut<'a, C> {
 #[cfg(test)]
 mod tests {
     use super::*;
-    use crate::mock::{mock_dependencies, MockApi, MockQuerier, MockStorage};
+    use crate::testing::{mock_dependencies, MockApi, MockQuerier, MockStorage};
     use serde::{Deserialize, Serialize};
 
     // ensure we can call these many times, eg. as sub-calls
diff --git a/packages/std/src/lib.rs b/packages/std/src/lib.rs
index 54e2a4bce3..d539f6c750 100644
--- a/packages/std/src/lib.rs
+++ b/packages/std/src/lib.rs
@@ -97,27 +97,8 @@ pub use crate::imports::{ExternalApi, ExternalQuerier, ExternalStorage};
 
 // Exposed for testing only
 // Both unit tests and integration tests are compiled to native code, so everything in here does not need to compile to Wasm.
-
-#[cfg(not(target_arch = "wasm32"))]
-mod mock;
 #[cfg(not(target_arch = "wasm32"))]
-pub mod testing {
-    #[cfg(feature = "staking")]
-    pub use crate::mock::StakingQuerier;
-    pub use crate::mock::{
-        digit_sum, mock_dependencies, mock_dependencies_with_balance,
-        mock_dependencies_with_balances, mock_env, mock_info, mock_wasmd_attr, riffle_shuffle,
-        BankQuerier, MockApi, MockQuerier, MockQuerierCustomHandlerResult, MockStorage,
-        MOCK_CONTRACT_ADDR,
-    };
-    #[cfg(feature = "stargate")]
-    pub use crate::mock::{
-        mock_ibc_channel, mock_ibc_channel_close_confirm, mock_ibc_channel_close_init,
-        mock_ibc_channel_connect_ack, mock_ibc_channel_connect_confirm, mock_ibc_channel_open_init,
-        mock_ibc_channel_open_try, mock_ibc_packet_ack, mock_ibc_packet_recv,
-        mock_ibc_packet_timeout,
-    };
-}
+pub mod testing;
 
 // Re-exports
 
diff --git a/packages/std/src/testing/assertions.rs b/packages/std/src/testing/assertions.rs
new file mode 100644
index 0000000000..3d5cf0a2d8
--- /dev/null
+++ b/packages/std/src/testing/assertions.rs
@@ -0,0 +1,108 @@
+use crate::{Decimal, Uint128};
+use std::str::FromStr as _;
+
+/// Asserts that two expressions are approximately equal to each other.
+///
+/// The `max_rel_diff` argument defines the maximum relative difference
+/// of the `left` and `right` values.
+///
+/// On panic, this macro will print the values of the arguments and
+/// the actual relative difference.
+///
+/// Like [`assert_eq!`], this macro has a second form, where a custom
+/// panic message can be provided.
+#[macro_export]
+macro_rules! assert_approx_eq {
+    ($left:expr, $right:expr, $max_rel_diff:expr $(,)?) => {{
+        $crate::testing::assert_approx_eq_impl($left, $right, $max_rel_diff, None);
+    }};
+    ($left:expr, $right:expr, $max_rel_diff:expr, $($args:tt)+) => {{
+        $crate::testing::assert_approx_eq_impl($left, $right, $max_rel_diff, Some(format!($($args)*)));
+    }};
+}
+
+/// Implementation for the [`cosmwasm_std::assert_approx_eq`] macro. This does not provide any
+/// stability guarantees and may change any time.
+#[track_caller]
+#[doc(hidden)]
+pub fn assert_approx_eq_impl<U: Into<Uint128>>(
+    left: U,
+    right: U,
+    max_rel_diff: &str,
+    panic_msg: Option<String>,
+) {
+    let left = left.into();
+    let right = right.into();
+    let max_rel_diff = Decimal::from_str(max_rel_diff).unwrap();
+
+    let largest = std::cmp::max(left, right);
+    let rel_diff = Decimal::from_ratio(left.abs_diff(right), largest);
+
+    if rel_diff > max_rel_diff {
+        match panic_msg {
+            Some(panic_msg) => panic!(
+                "assertion failed: `(left ≈ right)`\nleft: {}\nright: {}\nrelative difference: {}\nmax allowed relative difference: {}\n: {}",
+                left, right, rel_diff, max_rel_diff, panic_msg
+            ),
+            None => panic!(
+                "assertion failed: `(left ≈ right)`\nleft: {}\nright: {}\nrelative difference: {}\nmax allowed relative difference: {}\n",
+                left, right, rel_diff, max_rel_diff
+            ),
+        }
+    }
+}
+
+#[cfg(test)]
+mod tests {
+    #[test]
+    fn assert_approx() {
+        assert_approx_eq!(9_u32, 10_u32, "0.12");
+        assert_approx_eq!(9_u64, 10_u64, "0.12");
+        assert_approx_eq!(
+            9_000_000_000_000_000_000_000_000_000_000_000_000_u128,
+            10_000_000_000_000_000_000_000_000_000_000_000_000_u128,
+            "0.10"
+        );
+    }
+
+    #[test]
+    fn assert_approx_with_vars() {
+        let a = 66_u32;
+        let b = 67_u32;
+        assert_approx_eq!(a, b, "0.02");
+
+        let a = 66_u64;
+        let b = 67_u64;
+        assert_approx_eq!(a, b, "0.02");
+
+        let a = 66_u128;
+        let b = 67_u128;
+        assert_approx_eq!(a, b, "0.02");
+    }
+
+    #[test]
+    #[should_panic(
+        expected = "assertion failed: `(left ≈ right)`\nleft: 8\nright: 10\nrelative difference: 0.2\nmax allowed relative difference: 0.12\n"
+    )]
+    fn assert_approx_fail() {
+        assert_approx_eq!(8_u32, 10_u32, "0.12");
+    }
+
+    #[test]
+    #[should_panic(
+        expected = "assertion failed: `(left ≈ right)`\nleft: 17\nright: 20\nrelative difference: 0.15\nmax allowed relative difference: 0.12\n: some extra info about the error: Foo(8)"
+    )]
+    fn assert_approx_with_custom_panic_msg() {
+        let adjective = "extra";
+        #[derive(Debug)]
+        struct Foo(u32);
+        assert_approx_eq!(
+            17_u32,
+            20_u32,
+            "0.12",
+            "some {adjective} {} about the error: {:?}",
+            "info",
+            Foo(8),
+        );
+    }
+}
diff --git a/packages/std/src/mock.rs b/packages/std/src/testing/mock.rs
similarity index 99%
rename from packages/std/src/mock.rs
rename to packages/std/src/testing/mock.rs
index 1feb040228..0f74c3e3c1 100644
--- a/packages/std/src/mock.rs
+++ b/packages/std/src/testing/mock.rs
@@ -1550,7 +1550,7 @@ mod tests {
         });
         match result {
             SystemResult::Ok(ContractResult::Err(err)) => {
-                assert_eq!(err, "Error parsing into type cosmwasm_std::mock::tests::wasm_querier_works::{{closure}}::MyMsg: Invalid type")
+                assert_eq!(err, "Error parsing into type cosmwasm_std::testing::mock::tests::wasm_querier_works::{{closure}}::MyMsg: Invalid type")
             }
             res => panic!("Unexpected result: {:?}", res),
         }
diff --git a/packages/std/src/testing/mod.rs b/packages/std/src/testing/mod.rs
new file mode 100644
index 0000000000..b317d61c48
--- /dev/null
+++ b/packages/std/src/testing/mod.rs
@@ -0,0 +1,23 @@
+#![cfg(not(target_arch = "wasm32"))]
+
+// Exposed for testing only
+// Both unit tests and integration tests are compiled to native code, so everything in here does not need to compile to Wasm.
+
+mod assertions;
+mod mock;
+
+pub use assertions::assert_approx_eq_impl;
+
+#[cfg(feature = "staking")]
+pub use mock::StakingQuerier;
+pub use mock::{
+    digit_sum, mock_dependencies, mock_dependencies_with_balance, mock_dependencies_with_balances,
+    mock_env, mock_info, mock_wasmd_attr, riffle_shuffle, BankQuerier, MockApi, MockQuerier,
+    MockQuerierCustomHandlerResult, MockStorage, MOCK_CONTRACT_ADDR,
+};
+#[cfg(feature = "stargate")]
+pub use mock::{
+    mock_ibc_channel, mock_ibc_channel_close_confirm, mock_ibc_channel_close_init,
+    mock_ibc_channel_connect_ack, mock_ibc_channel_connect_confirm, mock_ibc_channel_open_init,
+    mock_ibc_channel_open_try, mock_ibc_packet_ack, mock_ibc_packet_recv, mock_ibc_packet_timeout,
+};
diff --git a/packages/std/src/traits.rs b/packages/std/src/traits.rs
index 6536d75bde..59436a8dff 100644
--- a/packages/std/src/traits.rs
+++ b/packages/std/src/traits.rs
@@ -356,7 +356,7 @@ impl<'a, C: CustomQuery> QuerierWrapper<'a, C> {
 #[cfg(test)]
 mod tests {
     use super::*;
-    use crate::mock::MockQuerier;
+    use crate::testing::MockQuerier;
     use crate::{coins, from_slice, Uint128};
 
     // this is a simple demo helper to prove we can use it