7752.75 is what percent of 10642.75 - 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 10642.75 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 10642.75, so we can write it down as 100%=10642.75.
4. We know, that x% equals 7752.75 of the output value, so we can write it down as x%=7752.75.
5. Now we have two simple equations:
1) 100%=10642.75
2) x%=7752.75
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%=10642.75/7752.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7752.75 is what percent of 10642.75

100%/x%=10642.75/7752.75
(100/x)*x=(10642.75/7752.75)*x       - we multiply both sides of the equation by x
100=1.3727709522428*x       - we divide both sides of the equation by (1.3727709522428) to get x
100/1.3727709522428=x
72.845364215076=x
x=72.845364215076

now we have:
7752.75 is 72.845364215076% of 10642.75