367.2 is what percent of 7625 - 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 7625 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 100% equals 7625, so we can write it down as 100%=7625.
4. We know, that x% equals 367.2 of the output value, so we can write it down as x%=367.2.
5. Now we have two simple equations:
1) 100%=7625
2) x%=367.2
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:
100%/x%=7625/367.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 367.2 is what percent of 7625

100%/x%=7625/367.2
(100/x)*x=(7625/367.2)*x       - we multiply both sides of the equation by x
100=20.765250544662*x       - we divide both sides of the equation by (20.765250544662) to get x
100/20.765250544662=x
4.815737704918=x
x=4.815737704918

now we have:
367.2 is 4.815737704918% of 7625