What is 36.9 percent of 472.25 - 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 472.25 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 472.25 is 100%, so we can write it down as 472.25=100%.
4. We know, that x is 36.9% of the output value, so we can write it down as x=36.9%.
5. Now we have two simple equations:
1) 472.25=100%
2) x=36.9%
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:
472.25/x=100%/36.9%
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 36.9% of 472.25

472.25/x=100/36.9
(472.25/x)*x=(100/36.9)*x       - we multiply both sides of the equation by x
472.25=2.710027100271*x       - we divide both sides of the equation by (2.710027100271) to get x
472.25/2.710027100271=x
174.26025=x
x=174.26025

now we have:
36.9% of 472.25=174.26025