What is 26.25 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 26.25% of the output value, so we can write it down as x=26.25%.
5. Now we have two simple equations:
1) 37.5=100%
2) x=26.25%
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%/26.25%
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 26.25% of 37.5

37.5/x=100/26.25
(37.5/x)*x=(100/26.25)*x       - we multiply both sides of the equation by x
37.5=3.8095238095238*x       - we divide both sides of the equation by (3.8095238095238) to get x
37.5/3.8095238095238=x
9.84375=x
x=9.84375

now we have:
26.25% of 37.5=9.84375