5.04 is what percent of 8.01 - 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 8.01 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 8.01, so we can write it down as 100%=8.01.
4. We know, that x% equals 5.04 of the output value, so we can write it down as x%=5.04.
5. Now we have two simple equations:
1) 100%=8.01
2) x%=5.04
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%=8.01/5.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.04 is what percent of 8.01

100%/x%=8.01/5.04
(100/x)*x=(8.01/5.04)*x       - we multiply both sides of the equation by x
100=1.5892857142857*x       - we divide both sides of the equation by (1.5892857142857) to get x
100/1.5892857142857=x
62.921348314607=x
x=62.921348314607

now we have:
5.04 is 62.921348314607% of 8.01