What is 55.3 percent of 37.7 - 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 37.7 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 37.7 is 100%, so we can write it down as 37.7=100%.
4. We know, that x is 55.3% of the output value, so we can write it down as x=55.3%.
5. Now we have two simple equations:
1) 37.7=100%
2) x=55.3%
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:
37.7/x=100%/55.3%
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 55.3% of 37.7

37.7/x=100/55.3
(37.7/x)*x=(100/55.3)*x       - we multiply both sides of the equation by x
37.7=1.8083182640145*x       - we divide both sides of the equation by (1.8083182640145) to get x
37.7/1.8083182640145=x
20.8481=x
x=20.8481

now we have:
55.3% of 37.7=20.8481