55.65 is what percent of 545.54 - 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 545.54 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 545.54, so we can write it down as 100%=545.54.
4. We know, that x% equals 55.65 of the output value, so we can write it down as x%=55.65.
5. Now we have two simple equations:
1) 100%=545.54
2) x%=55.65
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%=545.54/55.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.65 is what percent of 545.54

100%/x%=545.54/55.65
(100/x)*x=(545.54/55.65)*x       - we multiply both sides of the equation by x
100=9.8030548068284*x       - we divide both sides of the equation by (9.8030548068284) to get x
100/9.8030548068284=x
10.200901858709=x
x=10.200901858709

now we have:
55.65 is 10.200901858709% of 545.54