1540.5 is what percent of 4007.2 - 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 4007.2 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 4007.2, so we can write it down as 100%=4007.2.
4. We know, that x% equals 1540.5 of the output value, so we can write it down as x%=1540.5.
5. Now we have two simple equations:
1) 100%=4007.2
2) x%=1540.5
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%=4007.2/1540.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1540.5 is what percent of 4007.2

100%/x%=4007.2/1540.5
(100/x)*x=(4007.2/1540.5)*x       - we multiply both sides of the equation by x
100=2.6012333657903*x       - we divide both sides of the equation by (2.6012333657903) to get x
100/2.6012333657903=x
38.443302056299=x
x=38.443302056299

now we have:
1540.5 is 38.443302056299% of 4007.2