diff --git a/doc/changelog.dox b/doc/changelog.dox
index 5654acdf3..e809cbfa8 100644
--- a/doc/changelog.dox
+++ b/doc/changelog.dox
@@ -1642,6 +1642,9 @@ See also:
     @ref Math::RectangularMatrix::data() are no longer @cpp constexpr @ce in
     order to make them return a reference to a fixed-size array instead of a
     pointer, which was deemed a more useful property.
+-   @ref Math::sign() now always returns a unitless type instead of the
+    input type itself, so it's possible to e.g. extract a sign of an angle
+    value and multiply other angles with it.
 -   @ref MeshTools::primitiveCount() now requires the element count to follow
     rules defined by a particular primitive to be consistent with requirements
     of @ref MeshTools::generateIndices() and related APIs. Before it was just
diff --git a/src/Magnum/Math/Functions.h b/src/Magnum/Math/Functions.h
index 0f52875bd..ce1dbf13c 100644
--- a/src/Magnum/Math/Functions.h
+++ b/src/Magnum/Math/Functions.h
@@ -397,15 +397,15 @@ template<std::size_t size, class T> inline Vector<size, T> clamp(const Vector<si
 
 Returns `1` if @p x > 0, `0` if @p x = 0 and `-1` if @p x < 0.
 */
-template<class T> inline typename std::enable_if<IsScalar<T>::value, T>::type sign(T scalar) {
-    if(scalar > T(0)) return T(1);
-    if(scalar < T(0)) return T(-1);
-    return T(0);
+template<class T> inline typename std::enable_if<IsScalar<T>::value, UnderlyingTypeOf<T>>::type sign(T scalar) {
+    if(scalar > T(0)) return UnderlyingTypeOf<T>(1);
+    if(scalar < T(0)) return UnderlyingTypeOf<T>(-1);
+    return UnderlyingTypeOf<T>(0);
 }
 
 /** @overload */
-template<std::size_t size, class T> inline Vector<size, T> sign(const Vector<size, T>& a) {
-    Vector<size, T> out{Magnum::NoInit};
+template<std::size_t size, class T> inline Vector<size, UnderlyingTypeOf<T>> sign(const Vector<size, T>& a) {
+    Vector<size, UnderlyingTypeOf<T>> out{Magnum::NoInit};
     for(std::size_t i = 0; i != size; ++i)
         out[i] = Math::sign(a[i]);
     return out;
diff --git a/src/Magnum/Math/Test/FunctionsTest.cpp b/src/Magnum/Math/Test/FunctionsTest.cpp
index 62d536f17..7a1108240 100644
--- a/src/Magnum/Math/Test/FunctionsTest.cpp
+++ b/src/Magnum/Math/Test/FunctionsTest.cpp
@@ -263,8 +263,12 @@ void FunctionsTest::sign() {
     CORRADE_COMPARE(Math::sign(-3.7), -1.0);
     CORRADE_COMPARE(Math::sign(Vector3i(0, -3, 2)), Vector3i(0, -1, 1));
 
-    /* Wrapped types */
-    CORRADE_COMPARE(Math::sign(-3.7_degf), -1.0_degf);
+    /* Wrapped types. Returns the underlying type instead of the type itself as
+       it should be possible to do e.g. angle*Math::sign(angle) and get an
+       angle value back. With returning the type itself such operation wouldn't
+       have any definable unit. */
+    CORRADE_COMPARE(Math::sign(-3.7_degf), -1.0f);
+    CORRADE_COMPARE(Math::sign(Math::Vector2<Deg>{3.5_degf, -1.9_degf}), (Vector2{1.0f, -1.0f}));
 }
 
 void FunctionsTest::abs() {