diff --git a/lib/math-brain/overflow-detail.ts b/lib/math-brain/overflow-detail.ts
index 639f3806..a0d04f97 100644
--- a/lib/math-brain/overflow-detail.ts
+++ b/lib/math-brain/overflow-detail.ts
@@ -244,9 +244,9 @@ export const computeOverflowDetail = ({
   const saturationFlag = saturation === true;
 
   const magnitudeExceedsRange =
-    rawMagnitudeValue != null && Math.abs(rawMagnitudeValue) > OVERFLOW_LIMIT + OVERFLOW_TOLERANCE;
+    rawMagnitudeValue != null && Math.abs(rawMagnitudeValue) >= OVERFLOW_LIMIT + OVERFLOW_TOLERANCE;
   const directionalExceedsRange =
-    rawDirectionalBiasValue != null && Math.abs(rawDirectionalBiasValue) > OVERFLOW_LIMIT + OVERFLOW_TOLERANCE;
+    rawDirectionalBiasValue != null && Math.abs(rawDirectionalBiasValue) >= OVERFLOW_LIMIT + OVERFLOW_TOLERANCE;
 
   const overflowRegistered =
     magnitudeClampedFlag ||
diff --git a/test/overflow-detail.test.ts b/test/overflow-detail.test.ts
index d69b4a9b..8ed8e0bb 100644
--- a/test/overflow-detail.test.ts
+++ b/test/overflow-detail.test.ts
@@ -125,4 +125,17 @@ describe('overflow detail exports', () => {
     expect(detail.drivers).toContain('Body 3 ▻ Body 4 Trine');
     expect(detail.drivers).not.toContain('');
   });
+
+  it('registers overflow when raw value is exactly at the tolerance boundary', () => {
+    const detail = computeOverflowDetail({
+      rawMagnitude: 5.05,
+      clampedMagnitude: 5,
+      rawDirectionalBias: null,
+      clampedDirectionalBias: null,
+      aspects: [],
+    });
+
+    expect(detail).not.toBeNull();
+    expect(detail?.overflowRegistered).toBe(true);
+  });
 });