60.7 is what percent of 72.9 - 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 72.9 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 72.9, so we can write it down as 100%=72.9.
4. We know, that x% equals 60.7 of the output value, so we can write it down as x%=60.7.
5. Now we have two simple equations:
1) 100%=72.9
2) x%=60.7
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%=72.9/60.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 60.7 is what percent of 72.9

100%/x%=72.9/60.7
(100/x)*x=(72.9/60.7)*x       - we multiply both sides of the equation by x
100=1.2009884678748*x       - we divide both sides of the equation by (1.2009884678748) to get x
100/1.2009884678748=x
83.264746227709=x
x=83.264746227709

now we have:
60.7 is 83.264746227709% of 72.9