763.25 is what percent of 2137.09 - 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 2137.09 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 2137.09, so we can write it down as 100%=2137.09.
4. We know, that x% equals 763.25 of the output value, so we can write it down as x%=763.25.
5. Now we have two simple equations:
1) 100%=2137.09
2) x%=763.25
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%=2137.09/763.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 763.25 is what percent of 2137.09

100%/x%=2137.09/763.25
(100/x)*x=(2137.09/763.25)*x       - we multiply both sides of the equation by x
100=2.799986898133*x       - we divide both sides of the equation by (2.799986898133) to get x
100/2.799986898133=x
35.714452830718=x
x=35.714452830718

now we have:
763.25 is 35.714452830718% of 2137.09