2959.16 is what percent of 7959.16 - 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 7959.16 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 7959.16, so we can write it down as 100%=7959.16.
4. We know, that x% equals 2959.16 of the output value, so we can write it down as x%=2959.16.
5. Now we have two simple equations:
1) 100%=7959.16
2) x%=2959.16
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%=7959.16/2959.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2959.16 is what percent of 7959.16

100%/x%=7959.16/2959.16
(100/x)*x=(7959.16/2959.16)*x       - we multiply both sides of the equation by x
100=2.6896686897633*x       - we divide both sides of the equation by (2.6896686897633) to get x
100/2.6896686897633=x
37.179300328175=x
x=37.179300328175

now we have:
2959.16 is 37.179300328175% of 7959.16