72.73 is what percent of 217.37 - 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 217.37 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 217.37, so we can write it down as 100%=217.37.
4. We know, that x% equals 72.73 of the output value, so we can write it down as x%=72.73.
5. Now we have two simple equations:
1) 100%=217.37
2) x%=72.73
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%=217.37/72.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 72.73 is what percent of 217.37

100%/x%=217.37/72.73
(100/x)*x=(217.37/72.73)*x       - we multiply both sides of the equation by x
100=2.9887254227966*x       - we divide both sides of the equation by (2.9887254227966) to get x
100/2.9887254227966=x
33.459078989741=x
x=33.459078989741

now we have:
72.73 is 33.459078989741% of 217.37