88.51 is what percent of 479.52 - 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 479.52 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 479.52, so we can write it down as 100%=479.52.
4. We know, that x% equals 88.51 of the output value, so we can write it down as x%=88.51.
5. Now we have two simple equations:
1) 100%=479.52
2) x%=88.51
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%=479.52/88.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 88.51 is what percent of 479.52

100%/x%=479.52/88.51
(100/x)*x=(479.52/88.51)*x       - we multiply both sides of the equation by x
100=5.4176929160547*x       - we divide both sides of the equation by (5.4176929160547) to get x
100/5.4176929160547=x
18.458041374708=x
x=18.458041374708

now we have:
88.51 is 18.458041374708% of 479.52