83.27 is what percent of 552.9 - 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 552.9 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 552.9, so we can write it down as 100%=552.9.
4. We know, that x% equals 83.27 of the output value, so we can write it down as x%=83.27.
5. Now we have two simple equations:
1) 100%=552.9
2) x%=83.27
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%=552.9/83.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 83.27 is what percent of 552.9

100%/x%=552.9/83.27
(100/x)*x=(552.9/83.27)*x       - we multiply both sides of the equation by x
100=6.6398462831752*x       - we divide both sides of the equation by (6.6398462831752) to get x
100/6.6398462831752=x
15.060589618376=x
x=15.060589618376

now we have:
83.27 is 15.060589618376% of 552.9