31.96 is what percent of 71.96 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 71.96 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 71.96, so we can write it down as 100%=71.96.
4. We know, that x% equals 31.96 of the output value, so we can write it down as x%=31.96.
5. Now we have two simple equations:
1) 100%=71.96
2) x%=31.96
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=71.96/31.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.96 is what percent of 71.96

100%/x%=71.96/31.96
(100/x)*x=(71.96/31.96)*x       - we multiply both sides of the equation by x
100=2.2515644555695*x       - we divide both sides of the equation by (2.2515644555695) to get x
100/2.2515644555695=x
44.413563090606=x
x=44.413563090606

now we have:
31.96 is 44.413563090606% of 71.96