29.04 is what percent of 39.93 - 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 39.93 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 39.93, so we can write it down as 100%=39.93.
4. We know, that x% equals 29.04 of the output value, so we can write it down as x%=29.04.
5. Now we have two simple equations:
1) 100%=39.93
2) x%=29.04
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%=39.93/29.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.04 is what percent of 39.93

100%/x%=39.93/29.04
(100/x)*x=(39.93/29.04)*x       - we multiply both sides of the equation by x
100=1.375*x       - we divide both sides of the equation by (1.375) to get x
100/1.375=x
72.727272727273=x
x=72.727272727273

now we have:
29.04 is 72.727272727273% of 39.93