73.66 is what percent of 104.14 - 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 104.14 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 104.14, so we can write it down as 100%=104.14.
4. We know, that x% equals 73.66 of the output value, so we can write it down as x%=73.66.
5. Now we have two simple equations:
1) 100%=104.14
2) x%=73.66
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%=104.14/73.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 73.66 is what percent of 104.14

100%/x%=104.14/73.66
(100/x)*x=(104.14/73.66)*x       - we multiply both sides of the equation by x
100=1.4137931034483*x       - we divide both sides of the equation by (1.4137931034483) to get x
100/1.4137931034483=x
70.731707317073=x
x=70.731707317073

now we have:
73.66 is 70.731707317073% of 104.14