67.2 is what percent of 550.9 - 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 550.9 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 550.9, so we can write it down as 100%=550.9.
4. We know, that x% equals 67.2 of the output value, so we can write it down as x%=67.2.
5. Now we have two simple equations:
1) 100%=550.9
2) x%=67.2
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%=550.9/67.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67.2 is what percent of 550.9

100%/x%=550.9/67.2
(100/x)*x=(550.9/67.2)*x       - we multiply both sides of the equation by x
100=8.1979166666667*x       - we divide both sides of the equation by (8.1979166666667) to get x
100/8.1979166666667=x
12.198221092757=x
x=12.198221092757

now we have:
67.2 is 12.198221092757% of 550.9