721.2 is what percent of 1308.9 - 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 1308.9 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 1308.9, so we can write it down as 100%=1308.9.
4. We know, that x% equals 721.2 of the output value, so we can write it down as x%=721.2.
5. Now we have two simple equations:
1) 100%=1308.9
2) x%=721.2
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%=1308.9/721.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 721.2 is what percent of 1308.9

100%/x%=1308.9/721.2
(100/x)*x=(1308.9/721.2)*x       - we multiply both sides of the equation by x
100=1.8148918469218*x       - we divide both sides of the equation by (1.8148918469218) to get x
100/1.8148918469218=x
55.099702039881=x
x=55.099702039881

now we have:
721.2 is 55.099702039881% of 1308.9