88.57 is what percent of 471.25 - 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 471.25 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 471.25, so we can write it down as 100%=471.25.
4. We know, that x% equals 88.57 of the output value, so we can write it down as x%=88.57.
5. Now we have two simple equations:
1) 100%=471.25
2) x%=88.57
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%=471.25/88.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 88.57 is what percent of 471.25

100%/x%=471.25/88.57
(100/x)*x=(471.25/88.57)*x       - we multiply both sides of the equation by x
100=5.3206503330699*x       - we divide both sides of the equation by (5.3206503330699) to get x
100/5.3206503330699=x
18.794694960212=x
x=18.794694960212

now we have:
88.57 is 18.794694960212% of 471.25