965.13 is what percent of 758.75 - 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 758.75 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 758.75, so we can write it down as 100%=758.75.
4. We know, that x% equals 965.13 of the output value, so we can write it down as x%=965.13.
5. Now we have two simple equations:
1) 100%=758.75
2) x%=965.13
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%=758.75/965.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 965.13 is what percent of 758.75

100%/x%=758.75/965.13
(100/x)*x=(758.75/965.13)*x       - we multiply both sides of the equation by x
100=0.78616352201258*x       - we divide both sides of the equation by (0.78616352201258) to get x
100/0.78616352201258=x
127.2=x
x=127.2

now we have:
965.13 is 127.2% of 758.75