35.2 is what percent of 71.95 - 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 71.95 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 71.95, so we can write it down as 100%=71.95.
4. We know, that x% equals 35.2 of the output value, so we can write it down as x%=35.2.
5. Now we have two simple equations:
1) 100%=71.95
2) x%=35.2
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%=71.95/35.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.2 is what percent of 71.95

100%/x%=71.95/35.2
(100/x)*x=(71.95/35.2)*x       - we multiply both sides of the equation by x
100=2.0440340909091*x       - we divide both sides of the equation by (2.0440340909091) to get x
100/2.0440340909091=x
48.922863099375=x
x=48.922863099375

now we have:
35.2 is 48.922863099375% of 71.95