437.52 is what percent of 6259.52 - 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 6259.52 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 6259.52, so we can write it down as 100%=6259.52.
4. We know, that x% equals 437.52 of the output value, so we can write it down as x%=437.52.
5. Now we have two simple equations:
1) 100%=6259.52
2) x%=437.52
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%=6259.52/437.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 437.52 is what percent of 6259.52

100%/x%=6259.52/437.52
(100/x)*x=(6259.52/437.52)*x       - we multiply both sides of the equation by x
100=14.306820259645*x       - we divide both sides of the equation by (14.306820259645) to get x
100/14.306820259645=x
6.9896733295844=x
x=6.9896733295844

now we have:
437.52 is 6.9896733295844% of 6259.52