88.56 is what percent of 366.6 - 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 366.6 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 366.6, so we can write it down as 100%=366.6.
4. We know, that x% equals 88.56 of the output value, so we can write it down as x%=88.56.
5. Now we have two simple equations:
1) 100%=366.6
2) x%=88.56
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%=366.6/88.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 88.56 is what percent of 366.6

100%/x%=366.6/88.56
(100/x)*x=(366.6/88.56)*x       - we multiply both sides of the equation by x
100=4.139566395664*x       - we divide both sides of the equation by (4.139566395664) to get x
100/4.139566395664=x
24.157119476268=x
x=24.157119476268

now we have:
88.56 is 24.157119476268% of 366.6