534.33 is what percent of 6055.52 - 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 6055.52 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 6055.52, so we can write it down as 100%=6055.52.
4. We know, that x% equals 534.33 of the output value, so we can write it down as x%=534.33.
5. Now we have two simple equations:
1) 100%=6055.52
2) x%=534.33
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%=6055.52/534.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 534.33 is what percent of 6055.52

100%/x%=6055.52/534.33
(100/x)*x=(6055.52/534.33)*x       - we multiply both sides of the equation by x
100=11.332921602755*x       - we divide both sides of the equation by (11.332921602755) to get x
100/11.332921602755=x
8.8238499748989=x
x=8.8238499748989

now we have:
534.33 is 8.8238499748989% of 6055.52