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efb

Maths people, I am stuck!

I have a formula D = (A*B*C)/10000 where all values are %.
If I know the ratio between A, B & C and I know value D, what formula do I use to individually calculate A, B & C?
I got twisted in knots yesterday and made my head hurt, even though I know I should be able to do this.
A:B:C = 2:47:51 if it helps!

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gbj_tester in reply to @efb

I know value D

What is it?

10000D = A × (47/2)A × (51/2)A

= A³ × (47 × 51)/(2 × 2)

so

A³ = (10000/((47 × 51)/(2 × 2))) × D

so

A = ∛(16.6875260743 × D)

Once you know the value of D, you can evaluate A, then B and C are simple fractions of that.

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efb in reply to @gbj_tester

This place is wonderful.

D is a quality target, increasing over the years.
So I know D is 81% for FY16, 83% for FY17.
A, B and C are constituent sub targets.

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