diff --git a/include/fmt/chrono.h b/include/fmt/chrono.h
index 40a465a2..f805911c 100644
--- a/include/fmt/chrono.h
+++ b/include/fmt/chrono.h
@@ -524,11 +524,13 @@ auto duration_cast(std::chrono::duration<FromRep, FromPeriod> from) -> To {
   auto count = detail::duration_cast<
                    std::chrono::duration<FromRep, typename To::period>>(from)
                    .count();
+  // The conversion truncates toward zero so check the truncated value.
   // max + 1 is a power of 2 so the cast to FromRep is exact even when max
   // itself is rounded up by the conversion; the comparison is false for NaN.
   auto upper = static_cast<FromRep>(max_value<to_rep>()) + 1;
   auto lower = static_cast<FromRep>((std::numeric_limits<to_rep>::min)());
-  if (!(count >= lower && count < upper)) throw_duration_error();
+  auto truncated = std::trunc(count);
+  if (!(truncated >= lower && truncated < upper)) throw_duration_error();
   return To(static_cast<to_rep>(count));
 #else
   return std::chrono::duration_cast<To>(from);
diff --git a/test/chrono-test.cc b/test/chrono-test.cc
index fe9b4fa8..4f7eabd0 100644
--- a/test/chrono-test.cc
+++ b/test/chrono-test.cc
@@ -1006,6 +1006,33 @@ TEST(chrono_test, out_of_range) {
   EXPECT_THROW((void)fmt::format("{:%F}", flocal), fmt::format_error);
 }
 
+TEST(chrono_test, float_to_integral_duration_cast) {
+  using fsec = std::chrono::duration<double>;
+  // Values that truncate toward zero into range are valid.
+  EXPECT_EQ(
+      fmt::detail::duration_cast<std::chrono::duration<unsigned>>(fsec(-0.5))
+          .count(),
+      0u);
+  auto min = (std::numeric_limits<int>::min)();
+  EXPECT_EQ(
+      fmt::detail::duration_cast<std::chrono::duration<int>>(fsec(min - 0.5))
+          .count(),
+      min);
+  auto max = (std::numeric_limits<int>::max)();
+  EXPECT_EQ(
+      fmt::detail::duration_cast<std::chrono::duration<int>>(fsec(max + 0.5))
+          .count(),
+      max);
+  if (FMT_SAFE_DURATION_CAST) {
+    EXPECT_THROW(
+        fmt::detail::duration_cast<std::chrono::duration<unsigned>>(fsec(-1)),
+        fmt::format_error);
+    EXPECT_THROW(
+        fmt::detail::duration_cast<std::chrono::duration<int>>(fsec(min - 1.0)),
+        fmt::format_error);
+  }
+}
+
 TEST(chrono_test, calendar_padding) {
   EXPECT_EQ("05   ", fmt::format("{:5}", fmt::day(5)));
   EXPECT_EQ("  Jan", fmt::format("{:>5}", fmt::month(1)));