55.9 is what percent of 73.7 - 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 73.7 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 73.7, so we can write it down as 100%=73.7.
4. We know, that x% equals 55.9 of the output value, so we can write it down as x%=55.9.
5. Now we have two simple equations:
1) 100%=73.7
2) x%=55.9
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%=73.7/55.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.9 is what percent of 73.7

100%/x%=73.7/55.9
(100/x)*x=(73.7/55.9)*x       - we multiply both sides of the equation by x
100=1.3184257602862*x       - we divide both sides of the equation by (1.3184257602862) to get x
100/1.3184257602862=x
75.84803256445=x
x=75.84803256445

now we have:
55.9 is 75.84803256445% of 73.7