538.75 is what percent of 542 - 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 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, so we can write it down as 100%=542.
4. We know, that x% equals 538.75 of the output value, so we can write it down as x%=538.75.
5. Now we have two simple equations:
1) 100%=542
2) x%=538.75
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%=542/538.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 538.75 is what percent of 542

100%/x%=542/538.75
(100/x)*x=(542/538.75)*x       - we multiply both sides of the equation by x
100=1.0060324825986*x       - we divide both sides of the equation by (1.0060324825986) to get x
100/1.0060324825986=x
99.40036900369=x
x=99.40036900369

now we have:
538.75 is 99.40036900369% of 542