diff --git a/Project.toml b/Project.toml
index d6669729..7b769f1d 100644
--- a/Project.toml
+++ b/Project.toml
@@ -1,14 +1,16 @@
 name = "Unitful"
 uuid = "1986cc42-f94f-5a68-af5c-568840ba703d"
-version = "1.11.0"
+version = "1.12.0"
 
 [deps]
+ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
 ConstructionBase = "187b0558-2788-49d3-abe0-74a17ed4e7c9"
 Dates = "ade2ca70-3891-5945-98fb-dc099432e06a"
 LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
 Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
 
 [compat]
+ChainRulesCore = "1"
 ConstructionBase = "1"
 julia = "1"
 
diff --git a/src/Unitful.jl b/src/Unitful.jl
index dac82934..bf642c76 100644
--- a/src/Unitful.jl
+++ b/src/Unitful.jl
@@ -27,6 +27,8 @@ import Random
 
 import ConstructionBase: constructorof
 
+import ChainRulesCore: rrule, NoTangent, ProjectTo
+
 export logunit, unit, absoluteunit, dimension, uconvert, ustrip, upreferred
 export @dimension, @derived_dimension, @refunit, @unit, @affineunit, @u_str
 export Quantity, DimensionlessQuantity, NoUnits, NoDims
@@ -69,5 +71,6 @@ include("logarithm.jl")
 include("complex.jl")
 include("pkgdefaults.jl")
 include("dates.jl")
+include("chainrules.jl")
 
 end
diff --git a/src/chainrules.jl b/src/chainrules.jl
new file mode 100644
index 00000000..996e5280
--- /dev/null
+++ b/src/chainrules.jl
@@ -0,0 +1,29 @@
+function rrule(UT::Type{Quantity{T,D,U}}, x::Number) where {T,D,U}
+    unitful_x = Quantity{T,D,U}(x)
+    projector_x = ProjectTo(x)
+    uq_pullback(Δx) = (NoTangent(), projector_x(Δx) * oneunit(UT))
+    return unitful_x, uq_pullback
+end
+
+function (projector::ProjectTo{<:Quantity})(x::Number)
+    new_val = projector.project_val(ustrip(x))
+    return new_val*unit(x)
+end
+
+# Project Unitful Quantities onto numerical types by projecting the value and carrying units
+ProjectTo(x::Quantity) = ProjectTo(x.val)
+
+(project::ProjectTo{<:Real})(dx::Quantity) = project(ustrip(dx))*unit(dx)
+(project::ProjectTo{<:Complex})(dx::Quantity) = project(ustrip(dx))*unit(dx)
+
+function rrule(::typeof(*), x::Quantity, y::Units, z::Units...)
+    Ω = *(x, y, z...)
+    function times_pb(Δ)
+        nots = ntuple(_ -> NoTangent(), 1 + length(z))
+        return (NoTangent(), *(ProjectTo(x)(Δ), y, z...), nots...)
+    end
+    return Ω, times_pb
+end
+
+rrule(::typeof(/), x::Number, y::Units) = rrule(*, x, inv(y))
+rrule(::typeof(/), x::Units, y::Number) = rrule(*, x, inv(y))
diff --git a/test/chainrules.jl b/test/chainrules.jl
new file mode 100644
index 00000000..03e39ddd
--- /dev/null
+++ b/test/chainrules.jl
@@ -0,0 +1,52 @@
+using ChainRulesCore: rrule, ProjectTo, NoTangent
+
+@testset "ProjectTo" begin
+    real_test(proj, val) = proj(val) == real(val)
+    complex_test(proj, val) = proj(val) == val
+    uval = 8.0*u"W"
+    p_uval = ProjectTo(uval)
+    cuval = (1.0+im)*u"kg"
+    p_cuval = ProjectTo(cuval)
+
+    p_real = ProjectTo(1.0)
+    p_complex = ProjectTo(1.0+im)
+
+    δval = 6.0*u"m"
+    δcval = (2.0+3.0im)*u"L"
+
+    # Test projection onto real unitful quantities
+    for δ in (δval, δcval, 1.0, 1.0+im)
+        @test real_test(p_uval, δ)
+    end
+
+    # Test projection onto complex unitful quantities
+    for δ in (δval, δcval, 1.0, 1.0+im)
+        @test complex_test(p_cuval, δ)
+    end 
+
+    # Projecting Unitful quantities onto real values
+    @test p_real(δval) == δval
+    @test p_real(δcval) == real(δcval)
+
+    # Projecting Unitful quantities onto complex values
+    @test p_complex(δval) == δval
+    @test p_complex(δcval) == δcval
+end
+
+@testset "rrules" begin
+    @testset "Quantity rrule" begin
+        UT = typeof(1.0*u"W")
+        x = 5.0
+        Ω, pb = rrule(UT, x)
+        @test Ω == 5.0 * u"W"
+        @test pb(3.0) == (NoTangent(), 3.0 * u"W")
+    end
+    @testset "* rrule" begin
+        x = 5.0*u"W" 
+        y = u"m"
+        z = u"L"
+        Ω, pb = rrule(*, x, y, z)
+        @test Ω == x*y*z
+        @test pb(3.0) == (NoTangent(), 3.0*y*z, NoTangent(), NoTangent())
+    end
+end
diff --git a/test/runtests.jl b/test/runtests.jl
index b6481012..53803642 100644
--- a/test/runtests.jl
+++ b/test/runtests.jl
@@ -2047,6 +2047,10 @@ end
         """
 end
 
+@testset "ChainRules" begin
+    include("./chainrules.jl")
+end
+
 # Test precompiled Unitful extension modules
 load_path = mktempdir()
 load_cache_path = mktempdir()