72.9 is what percent of 801.95 - 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 801.95 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 801.95, so we can write it down as 100%=801.95.
4. We know, that x% equals 72.9 of the output value, so we can write it down as x%=72.9.
5. Now we have two simple equations:
1) 100%=801.95
2) x%=72.9
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%=801.95/72.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 72.9 is what percent of 801.95

100%/x%=801.95/72.9
(100/x)*x=(801.95/72.9)*x       - we multiply both sides of the equation by x
100=11.000685871056*x       - we divide both sides of the equation by (11.000685871056) to get x
100/11.000685871056=x
9.0903422906665=x
x=9.0903422906665

now we have:
72.9 is 9.0903422906665% of 801.95