3017.5 is what percent of 37440 - 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 37440 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 37440, so we can write it down as 100%=37440.
4. We know, that x% equals 3017.5 of the output value, so we can write it down as x%=3017.5.
5. Now we have two simple equations:
1) 100%=37440
2) x%=3017.5
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%=37440/3017.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3017.5 is what percent of 37440

100%/x%=37440/3017.5
(100/x)*x=(37440/3017.5)*x       - we multiply both sides of the equation by x
100=12.407622203811*x       - we divide both sides of the equation by (12.407622203811) to get x
100/12.407622203811=x
8.059561965812=x
x=8.059561965812

now we have:
3017.5 is 8.059561965812% of 37440