431.6 is what percent of 524.4 - 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 524.4 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 524.4, so we can write it down as 100%=524.4.
4. We know, that x% equals 431.6 of the output value, so we can write it down as x%=431.6.
5. Now we have two simple equations:
1) 100%=524.4
2) x%=431.6
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%=524.4/431.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 431.6 is what percent of 524.4

100%/x%=524.4/431.6
(100/x)*x=(524.4/431.6)*x       - we multiply both sides of the equation by x
100=1.2150139017609*x       - we divide both sides of the equation by (1.2150139017609) to get x
100/1.2150139017609=x
82.30358504958=x
x=82.30358504958

now we have:
431.6 is 82.30358504958% of 524.4