757.63 is what percent of 2138.52 - 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 2138.52 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 2138.52, so we can write it down as 100%=2138.52.
4. We know, that x% equals 757.63 of the output value, so we can write it down as x%=757.63.
5. Now we have two simple equations:
1) 100%=2138.52
2) x%=757.63
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%=2138.52/757.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 757.63 is what percent of 2138.52

100%/x%=2138.52/757.63
(100/x)*x=(2138.52/757.63)*x       - we multiply both sides of the equation by x
100=2.8226442986682*x       - we divide both sides of the equation by (2.8226442986682) to get x
100/2.8226442986682=x
35.427772478162=x
x=35.427772478162

now we have:
757.63 is 35.427772478162% of 2138.52