32663.55 is what percent of 77523.55 - 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 77523.55 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 77523.55, so we can write it down as 100%=77523.55.
4. We know, that x% equals 32663.55 of the output value, so we can write it down as x%=32663.55.
5. Now we have two simple equations:
1) 100%=77523.55
2) x%=32663.55
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%=77523.55/32663.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32663.55 is what percent of 77523.55

100%/x%=77523.55/32663.55
(100/x)*x=(77523.55/32663.55)*x       - we multiply both sides of the equation by x
100=2.3733963393446*x       - we divide both sides of the equation by (2.3733963393446) to get x
100/2.3733963393446=x
42.133712916914=x
x=42.133712916914

now we have:
32663.55 is 42.133712916914% of 77523.55