55.6 is what percent of 61.8 - 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 61.8 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 61.8, so we can write it down as 100%=61.8.
4. We know, that x% equals 55.6 of the output value, so we can write it down as x%=55.6.
5. Now we have two simple equations:
1) 100%=61.8
2) x%=55.6
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%=61.8/55.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.6 is what percent of 61.8

100%/x%=61.8/55.6
(100/x)*x=(61.8/55.6)*x       - we multiply both sides of the equation by x
100=1.1115107913669*x       - we divide both sides of the equation by (1.1115107913669) to get x
100/1.1115107913669=x
89.967637540453=x
x=89.967637540453

now we have:
55.6 is 89.967637540453% of 61.8