54.07 is what percent of 654.07 - 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 654.07 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 654.07, so we can write it down as 100%=654.07.
4. We know, that x% equals 54.07 of the output value, so we can write it down as x%=54.07.
5. Now we have two simple equations:
1) 100%=654.07
2) x%=54.07
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%=654.07/54.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 54.07 is what percent of 654.07

100%/x%=654.07/54.07
(100/x)*x=(654.07/54.07)*x       - we multiply both sides of the equation by x
100=12.096726465693*x       - we divide both sides of the equation by (12.096726465693) to get x
100/12.096726465693=x
8.2666992829514=x
x=8.2666992829514

now we have:
54.07 is 8.2666992829514% of 654.07