44.29 is what percent of 123.77 - 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 123.77 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 123.77, so we can write it down as 100%=123.77.
4. We know, that x% equals 44.29 of the output value, so we can write it down as x%=44.29.
5. Now we have two simple equations:
1) 100%=123.77
2) x%=44.29
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%=123.77/44.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44.29 is what percent of 123.77

100%/x%=123.77/44.29
(100/x)*x=(123.77/44.29)*x       - we multiply both sides of the equation by x
100=2.7945360126439*x       - we divide both sides of the equation by (2.7945360126439) to get x
100/2.7945360126439=x
35.784115698473=x
x=35.784115698473

now we have:
44.29 is 35.784115698473% of 123.77