What is 17.25 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 17.25% of the output value, so we can write it down as x=17.25%.
5. Now we have two simple equations:
1) 37.5=100%
2) x=17.25%
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%/17.25%
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 17.25% of 37.5

37.5/x=100/17.25
(37.5/x)*x=(100/17.25)*x       - we multiply both sides of the equation by x
37.5=5.7971014492754*x       - we divide both sides of the equation by (5.7971014492754) to get x
37.5/5.7971014492754=x
6.46875=x
x=6.46875

now we have:
17.25% of 37.5=6.46875