Percentages Model 1 — Variables and Equations

04 Try it yourself Interactive

From a sentence to a ratio

Choose the two percentages in “a% of P = b% of Q”. The console cancels the hundreds, simplifies, and reads off both P as a percentage of Q and Q as a percentage of P — because questions ask for either and the two are different numbers.

50% of P = 25% of Q

P : Q = 1 : 2 · P is 50% of Q

Watch the ratio in the third step: from aP = bQ the ratio P : Q is b : a, with the coefficients swapped.

Press Next to work through it one step at a time.

a%–

b%–

P as % of Q–

Q as % of P–

step 0 / 0