44.55 is what percent of 68.04 - 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 68.04 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 68.04, so we can write it down as 100%=68.04.
4. We know, that x% equals 44.55 of the output value, so we can write it down as x%=44.55.
5. Now we have two simple equations:
1) 100%=68.04
2) x%=44.55
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%=68.04/44.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44.55 is what percent of 68.04

100%/x%=68.04/44.55
(100/x)*x=(68.04/44.55)*x       - we multiply both sides of the equation by x
100=1.5272727272727*x       - we divide both sides of the equation by (1.5272727272727) to get x
100/1.5272727272727=x
65.47619047619=x
x=65.47619047619

now we have:
44.55 is 65.47619047619% of 68.04