What is 42.6 percent of 37.5 - 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 37.5 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 37.5 is 100%, so we can write it down as 37.5=100%.
4. We know, that x is 42.6% of the output value, so we can write it down as x=42.6%.
5. Now we have two simple equations:
1) 37.5=100%
2) x=42.6%
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:
37.5/x=100%/42.6%
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 42.6% of 37.5

37.5/x=100/42.6
(37.5/x)*x=(100/42.6)*x       - we multiply both sides of the equation by x
37.5=2.3474178403756*x       - we divide both sides of the equation by (2.3474178403756) to get x
37.5/2.3474178403756=x
15.975=x
x=15.975

now we have:
42.6% of 37.5=15.975