87.93 is what percent of 130.25 - 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 130.25 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 130.25, so we can write it down as 100%=130.25.
4. We know, that x% equals 87.93 of the output value, so we can write it down as x%=87.93.
5. Now we have two simple equations:
1) 100%=130.25
2) x%=87.93
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%=130.25/87.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 87.93 is what percent of 130.25

100%/x%=130.25/87.93
(100/x)*x=(130.25/87.93)*x       - we multiply both sides of the equation by x
100=1.4812919367679*x       - we divide both sides of the equation by (1.4812919367679) to get x
100/1.4812919367679=x
67.508637236084=x
x=67.508637236084

now we have:
87.93 is 67.508637236084% of 130.25