7766.25 is what percent of 32700 - 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 32700 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 32700, so we can write it down as 100%=32700.
4. We know, that x% equals 7766.25 of the output value, so we can write it down as x%=7766.25.
5. Now we have two simple equations:
1) 100%=32700
2) x%=7766.25
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%=32700/7766.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7766.25 is what percent of 32700

100%/x%=32700/7766.25
(100/x)*x=(32700/7766.25)*x       - we multiply both sides of the equation by x
100=4.2105263157895*x       - we divide both sides of the equation by (4.2105263157895) to get x
100/4.2105263157895=x
23.75=x
x=23.75

now we have:
7766.25 is 23.75% of 32700