407.38 is what percent of 7584 - 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 7584 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 7584, so we can write it down as 100%=7584.
4. We know, that x% equals 407.38 of the output value, so we can write it down as x%=407.38.
5. Now we have two simple equations:
1) 100%=7584
2) x%=407.38
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%=7584/407.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 407.38 is what percent of 7584

100%/x%=7584/407.38
(100/x)*x=(7584/407.38)*x       - we multiply both sides of the equation by x
100=18.616525111689*x       - we divide both sides of the equation by (18.616525111689) to get x
100/18.616525111689=x
5.3715717299578=x
x=5.3715717299578

now we have:
407.38 is 5.3715717299578% of 7584