What is 66.5 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 66.5% of the output value, so we can write it down as x=66.5%.
5. Now we have two simple equations:
1) 37.5=100%
2) x=66.5%
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%/66.5%
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 66.5% of 37.5

37.5/x=100/66.5
(37.5/x)*x=(100/66.5)*x       - we multiply both sides of the equation by x
37.5=1.5037593984962*x       - we divide both sides of the equation by (1.5037593984962) to get x
37.5/1.5037593984962=x
24.9375=x
x=24.9375

now we have:
66.5% of 37.5=24.9375