978.5 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 978.5 of the output value, so we can write it down as x%=978.5.
5. Now we have two simple equations:
1) 100%=37440
2) x%=978.5
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%=37440/978.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 978.5 is what percent of 37440

100%/x%=37440/978.5
(100/x)*x=(37440/978.5)*x       - we multiply both sides of the equation by x
100=38.262646908533*x       - we divide both sides of the equation by (38.262646908533) to get x
100/38.262646908533=x
2.613514957265=x
x=2.613514957265

now we have:
978.5 is 2.613514957265% of 37440