8.55 is what percent of 81.5 - 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 81.5 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 81.5, so we can write it down as 100%=81.5.
4. We know, that x% equals 8.55 of the output value, so we can write it down as x%=8.55.
5. Now we have two simple equations:
1) 100%=81.5
2) x%=8.55
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%=81.5/8.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.55 is what percent of 81.5

100%/x%=81.5/8.55
(100/x)*x=(81.5/8.55)*x       - we multiply both sides of the equation by x
100=9.5321637426901*x       - we divide both sides of the equation by (9.5321637426901) to get x
100/9.5321637426901=x
10.490797546012=x
x=10.490797546012

now we have:
8.55 is 10.490797546012% of 81.5