104.72 is what percent of 143.81 - 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 143.81 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 143.81, so we can write it down as 100%=143.81.
4. We know, that x% equals 104.72 of the output value, so we can write it down as x%=104.72.
5. Now we have two simple equations:
1) 100%=143.81
2) x%=104.72
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%=143.81/104.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 104.72 is what percent of 143.81

100%/x%=143.81/104.72
(100/x)*x=(143.81/104.72)*x       - we multiply both sides of the equation by x
100=1.3732811306341*x       - we divide both sides of the equation by (1.3732811306341) to get x
100/1.3732811306341=x
72.818301926153=x
x=72.818301926153

now we have:
104.72 is 72.818301926153% of 143.81