Question

What percent of 51 is 127.5?20.67 is 42.5% of what?

Answer 1

a) We have to find what percent of 51 is 127.5.

As 127.5 is larger than 51, we expect a percentage larger than 100%.

We can find the percentage by dividing the part, 127.5, by the total, 51, and multiplying by 100%:

`(127.5)/(51)\cdot100\%=2.5\cdot100\%=250\%`

b) We have to find the value x of which 42.5% is equal to 20.67.

We can write this as:

`\begin{gathered} x\cdot(42.5)/(100)=20.67 \\ x\cdot0.425=20.67 \\ x=(20.67)/(0.425) \\ x\approx48.63 \end{gathered}`

Answer:

a) 127.5 is 250% of 51.

b) 20.67 is 42.5% of 48.63.