20.69 is what percent of 542.08 - 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 542.08 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 542.08, so we can write it down as 100%=542.08.
4. We know, that x% equals 20.69 of the output value, so we can write it down as x%=20.69.
5. Now we have two simple equations:
1) 100%=542.08
2) x%=20.69
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%=542.08/20.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.69 is what percent of 542.08

100%/x%=542.08/20.69
(100/x)*x=(542.08/20.69)*x       - we multiply both sides of the equation by x
100=26.200096665056*x       - we divide both sides of the equation by (26.200096665056) to get x
100/26.200096665056=x
3.816779811098=x
x=3.816779811098

now we have:
20.69 is 3.816779811098% of 542.08