597.6 is what percent of 502.2 - 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 502.2 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 502.2, so we can write it down as 100%=502.2.
4. We know, that x% equals 597.6 of the output value, so we can write it down as x%=597.6.
5. Now we have two simple equations:
1) 100%=502.2
2) x%=597.6
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%=502.2/597.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 597.6 is what percent of 502.2

100%/x%=502.2/597.6
(100/x)*x=(502.2/597.6)*x       - we multiply both sides of the equation by x
100=0.84036144578313*x       - we divide both sides of the equation by (0.84036144578313) to get x
100/0.84036144578313=x
118.99641577061=x
x=118.99641577061

now we have:
597.6 is 118.99641577061% of 502.2