99.38 is what percent of 1164.84 - 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 1164.84 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 1164.84, so we can write it down as 100%=1164.84.
4. We know, that x% equals 99.38 of the output value, so we can write it down as x%=99.38.
5. Now we have two simple equations:
1) 100%=1164.84
2) x%=99.38
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%=1164.84/99.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 99.38 is what percent of 1164.84

100%/x%=1164.84/99.38
(100/x)*x=(1164.84/99.38)*x       - we multiply both sides of the equation by x
100=11.721070637955*x       - we divide both sides of the equation by (11.721070637955) to get x
100/11.721070637955=x
8.5316438309124=x
x=8.5316438309124

now we have:
99.38 is 8.5316438309124% of 1164.84