55.5 is what percent of 657 - 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 657 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 657, so we can write it down as 100%=657.
4. We know, that x% equals 55.5 of the output value, so we can write it down as x%=55.5.
5. Now we have two simple equations:
1) 100%=657
2) x%=55.5
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%=657/55.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.5 is what percent of 657

100%/x%=657/55.5
(100/x)*x=(657/55.5)*x       - we multiply both sides of the equation by x
100=11.837837837838*x       - we divide both sides of the equation by (11.837837837838) to get x
100/11.837837837838=x
8.4474885844749=x
x=8.4474885844749

now we have:
55.5 is 8.4474885844749% of 657