2627.72 is what percent of 6569.29 - 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 6569.29 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 6569.29, so we can write it down as 100%=6569.29.
4. We know, that x% equals 2627.72 of the output value, so we can write it down as x%=2627.72.
5. Now we have two simple equations:
1) 100%=6569.29
2) x%=2627.72
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%=6569.29/2627.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2627.72 is what percent of 6569.29

100%/x%=6569.29/2627.72
(100/x)*x=(6569.29/2627.72)*x       - we multiply both sides of the equation by x
100=2.4999961944195*x       - we divide both sides of the equation by (2.4999961944195) to get x
100/2.4999961944195=x
40.000060889381=x
x=40.000060889381

now we have:
2627.72 is 40.000060889381% of 6569.29