550.2 is what percent of 615 - 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 615 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 615, so we can write it down as 100%=615.
4. We know, that x% equals 550.2 of the output value, so we can write it down as x%=550.2.
5. Now we have two simple equations:
1) 100%=615
2) x%=550.2
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%=615/550.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 550.2 is what percent of 615

100%/x%=615/550.2
(100/x)*x=(615/550.2)*x       - we multiply both sides of the equation by x
100=1.1177753544166*x       - we divide both sides of the equation by (1.1177753544166) to get x
100/1.1177753544166=x
89.463414634146=x
x=89.463414634146

now we have:
550.2 is 89.463414634146% of 615