542.85 is what percent of 8100 - 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 8100 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 8100, so we can write it down as 100%=8100.
4. We know, that x% equals 542.85 of the output value, so we can write it down as x%=542.85.
5. Now we have two simple equations:
1) 100%=8100
2) x%=542.85
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%=8100/542.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 542.85 is what percent of 8100

100%/x%=8100/542.85
(100/x)*x=(8100/542.85)*x       - we multiply both sides of the equation by x
100=14.921248963802*x       - we divide both sides of the equation by (14.921248963802) to get x
100/14.921248963802=x
6.7018518518519=x
x=6.7018518518519

now we have:
542.85 is 6.7018518518519% of 8100