502.35 is what percent of 542.45 - 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 542.45 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 542.45, so we can write it down as 100%=542.45.
4. We know, that x% equals 502.35 of the output value, so we can write it down as x%=502.35.
5. Now we have two simple equations:
1) 100%=542.45
2) x%=502.35
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%=542.45/502.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 502.35 is what percent of 542.45

100%/x%=542.45/502.35
(100/x)*x=(542.45/502.35)*x       - we multiply both sides of the equation by x
100=1.0798248233303*x       - we divide both sides of the equation by (1.0798248233303) to get x
100/1.0798248233303=x
92.607613604941=x
x=92.607613604941

now we have:
502.35 is 92.607613604941% of 542.45