91.56 is what percent of 800 - 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 800 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 800, so we can write it down as 100%=800.
4. We know, that x% equals 91.56 of the output value, so we can write it down as x%=91.56.
5. Now we have two simple equations:
1) 100%=800
2) x%=91.56
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%=800/91.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 91.56 is what percent of 800

100%/x%=800/91.56
(100/x)*x=(800/91.56)*x       - we multiply both sides of the equation by x
100=8.7374399301005*x       - we divide both sides of the equation by (8.7374399301005) to get x
100/8.7374399301005=x
11.445=x
x=11.445

now we have:
91.56 is 11.445% of 800