What is 37.1 percent of 55.5 - 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 55.5 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 55.5 is 100%, so we can write it down as 55.5=100%.
4. We know, that x is 37.1% of the output value, so we can write it down as x=37.1%.
5. Now we have two simple equations:
1) 55.5=100%
2) x=37.1%
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:
55.5/x=100%/37.1%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 37.1% of 55.5

55.5/x=100/37.1
(55.5/x)*x=(100/37.1)*x       - we multiply both sides of the equation by x
55.5=2.6954177897574*x       - we divide both sides of the equation by (2.6954177897574) to get x
55.5/2.6954177897574=x
20.5905=x
x=20.5905

now we have:
37.1% of 55.5=20.5905