84.64 is what percent of 920.4 - 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 920.4 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 920.4, so we can write it down as 100%=920.4.
4. We know, that x% equals 84.64 of the output value, so we can write it down as x%=84.64.
5. Now we have two simple equations:
1) 100%=920.4
2) x%=84.64
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%=920.4/84.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 84.64 is what percent of 920.4

100%/x%=920.4/84.64
(100/x)*x=(920.4/84.64)*x       - we multiply both sides of the equation by x
100=10.874291115312*x       - we divide both sides of the equation by (10.874291115312) to get x
100/10.874291115312=x
9.1960017383746=x
x=9.1960017383746

now we have:
84.64 is 9.1960017383746% of 920.4