What is 15.624 percent of 37.825 - 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 37.825 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 37.825 is 100%, so we can write it down as 37.825=100%.
4. We know, that x is 15.624% of the output value, so we can write it down as x=15.624%.
5. Now we have two simple equations:
1) 37.825=100%
2) x=15.624%
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:
37.825/x=100%/15.624%
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 15.624% of 37.825

37.825/x=100/15.624
(37.825/x)*x=(100/15.624)*x       - we multiply both sides of the equation by x
37.825=6.4004096262161*x       - we divide both sides of the equation by (6.4004096262161) to get x
37.825/6.4004096262161=x
5.909778=x
x=5.909778

now we have:
15.624% of 37.825=5.909778