88.58 is what percent of 828.75 - 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 828.75 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 828.75, so we can write it down as 100%=828.75.
4. We know, that x% equals 88.58 of the output value, so we can write it down as x%=88.58.
5. Now we have two simple equations:
1) 100%=828.75
2) x%=88.58
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%=828.75/88.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 88.58 is what percent of 828.75

100%/x%=828.75/88.58
(100/x)*x=(828.75/88.58)*x       - we multiply both sides of the equation by x
100=9.3559494242493*x       - we divide both sides of the equation by (9.3559494242493) to get x
100/9.3559494242493=x
10.68838612368=x
x=10.68838612368

now we have:
88.58 is 10.68838612368% of 828.75