71.91 is what percent of 201.91 - 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 201.91 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 201.91, so we can write it down as 100%=201.91.
4. We know, that x% equals 71.91 of the output value, so we can write it down as x%=71.91.
5. Now we have two simple equations:
1) 100%=201.91
2) x%=71.91
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%=201.91/71.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 71.91 is what percent of 201.91

100%/x%=201.91/71.91
(100/x)*x=(201.91/71.91)*x       - we multiply both sides of the equation by x
100=2.8078153247114*x       - we divide both sides of the equation by (2.8078153247114) to get x
100/2.8078153247114=x
35.614877915903=x
x=35.614877915903

now we have:
71.91 is 35.614877915903% of 201.91