diff --git a/doc/changelog.dox b/doc/changelog.dox
index fa6ff7716..13ffe7190 100644
--- a/doc/changelog.dox
+++ b/doc/changelog.dox
@@ -71,6 +71,8 @@ See also:
     and @ref Math::Range3D::y() for slicing ranges into lower dimensions
 -   Added @ref Math::intersect() and @ref Math::intersects() as a counterpart
     to @ref Math::join() for operating with @ref Math::Range instances
+-   Added @ref Math::Range::contains() overloading taking a range, in addition
+    to vector
 -   Added @ref Math::Constants::piQuarter()
 -   Added a convenience function @ref Math::select() as a constant
     interpolation counterpart to @ref Math::lerp()
diff --git a/src/Magnum/Math/Range.h b/src/Magnum/Math/Range.h
index 329c53ce2..6ba1a3702 100644
--- a/src/Magnum/Math/Range.h
+++ b/src/Magnum/Math/Range.h
@@ -190,9 +190,41 @@ template<UnsignedInt dimensions, class T> class Range {
          */
         Range<dimensions, T> scaled(const VectorType& scaling) const;
 
-        /** @brief Whether given point is contained inside the range */
-        constexpr bool contains(const VectorType& a) const {
-            return (a >= _min).all() && (a < _max).all();
+        /**
+         * @brief Whether given point is contained inside the range
+         *
+         * Returns @cpp true @ce if the following holds for all dimensions
+         * @f$ i @f$, @cpp false @ce otherwise. @f[
+         *      \bigwedge_i
+         *      (b_i \ge \operatorname{min}(A)_i) \land
+         *      (b_i < \operatorname{max}(A)_i)
+         * @f]
+         *
+         * The range minimum is interpreted as inclusive, maximum as exclusive.
+         * Results are undefined if the range has negative size.
+         * @see @ref intersects(), @ref contains(const Range<dimensions, T>&) const,
+         *      @ref min(), @ref max()
+         */
+        bool contains(const VectorType& b) const {
+            return (b >= _min).all() && (b < _max).all();
+        }
+
+        /**
+         * @brief Whether another range is fully contained inside this range
+         *
+         * Returns @cpp true @ce if the following holds for all dimensions
+         * @f$ i @f$, @cpp false @ce otherwise. @f[
+         *      \bigwedge_i
+         *      (\operatorname{min}(B)_i \ge \operatorname{min}(A)_i) \land
+         *      (\operatorname{max}(B)_i \le \operatorname{max}(A)_i)
+         * @f]
+         *
+         * Results are undefined if the range has negative size.
+         * @see @ref intersects(), @ref contains(const VectorType&) const,
+         *      @ref min(), @ref max()
+         */
+        bool contains(const Range<dimensions, T>& b) const {
+            return (b._min >= _min).all() && (b._max <= _max).all();
         }
 
     private:
diff --git a/src/Magnum/Math/Test/RangeTest.cpp b/src/Magnum/Math/Test/RangeTest.cpp
index 35dfb9e0d..9d9de731b 100644
--- a/src/Magnum/Math/Test/RangeTest.cpp
+++ b/src/Magnum/Math/Test/RangeTest.cpp
@@ -115,7 +115,8 @@ struct RangeTest: Corrade::TestSuite::Tester {
     void padded();
     void scaled();
 
-    void contains();
+    void containsVector();
+    void containsRange();
     void intersectIntersects();
     void join();
 
@@ -154,7 +155,8 @@ RangeTest::RangeTest() {
               &RangeTest::padded,
               &RangeTest::scaled,
 
-              &RangeTest::contains,
+              &RangeTest::containsVector,
+              &RangeTest::containsRange,
               &RangeTest::intersectIntersects,
               &RangeTest::join,
 
@@ -500,12 +502,52 @@ void RangeTest::scaled() {
     CORRADE_COMPARE(a.scaled({2, -3}), b);
 }
 
-void RangeTest::contains() {
+void RangeTest::containsVector() {
     Range2Di a({34, 23}, {47, 30});
 
     CORRADE_VERIFY(a.contains({40, 23}));
     CORRADE_VERIFY(!a.contains({33, 23}));
     CORRADE_VERIFY(!a.contains({40, 30}));
+
+    /* Contains a point at min, but not at max */
+    CORRADE_VERIFY(a.contains({34, 23}));
+    CORRADE_VERIFY(!a.contains({47, 30}));
+}
+
+void RangeTest::containsRange() {
+    Range2Di a({34, 23}, {47, 30});
+
+    /* Contains whole range with a gap, not the other way around */
+    Range2Di b{{35, 25}, {40, 28}};
+    CORRADE_VERIFY(a.contains(b));
+    CORRADE_VERIFY(!b.contains(a));
+
+    /* Contains itself, empty range contains itself as well */
+    Range2Di c;
+    CORRADE_VERIFY(a.contains(a));
+    CORRADE_VERIFY(b.contains(b));
+    CORRADE_VERIFY(c.contains(c));
+
+    /* Contains zero-sized range inside but not outside */
+    Range2Di d{{34, 23}, {34, 23}};
+    Range2Di e{{33, 23}, {33, 23}};
+    Range2Di f{{47, 30}, {47, 30}};
+    Range2Di g{{47, 31}, {47, 31}};
+    CORRADE_VERIFY(a.contains(d));
+    CORRADE_VERIFY(!a.contains(e));
+    CORRADE_VERIFY(a.contains(f));
+    CORRADE_VERIFY(!a.contains(g));
+
+    /* Doesn't contain a range that overlaps */
+    Range2Di h{{30, 25}, {35, 105}};
+    CORRADE_VERIFY(!a.contains(h));
+    CORRADE_VERIFY(!h.contains(a));
+
+    /* Doesn't contain a range touching the edges from the outside */
+    Range2Di i{{20, 30}, {34, 40}};
+    Range2Di j{{47, 20}, {60, 23}};
+    CORRADE_VERIFY(!a.contains(i));
+    CORRADE_VERIFY(!a.contains(j));
 }
 
 void RangeTest::intersectIntersects() {