552.35 is what percent of 7364.73 - 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 7364.73 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 7364.73, so we can write it down as 100%=7364.73.
4. We know, that x% equals 552.35 of the output value, so we can write it down as x%=552.35.
5. Now we have two simple equations:
1) 100%=7364.73
2) x%=552.35
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%=7364.73/552.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 552.35 is what percent of 7364.73

100%/x%=7364.73/552.35
(100/x)*x=(7364.73/552.35)*x       - we multiply both sides of the equation by x
100=13.333447994931*x       - we divide both sides of the equation by (13.333447994931) to get x
100/13.333447994931=x
7.4999355034061=x
x=7.4999355034061

now we have:
552.35 is 7.4999355034061% of 7364.73