44.81 is what percent of 177 - 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 177 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 177, so we can write it down as 100%=177.
4. We know, that x% equals 44.81 of the output value, so we can write it down as x%=44.81.
5. Now we have two simple equations:
1) 100%=177
2) x%=44.81
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%=177/44.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44.81 is what percent of 177

100%/x%=177/44.81
(100/x)*x=(177/44.81)*x       - we multiply both sides of the equation by x
100=3.9500111582236*x       - we divide both sides of the equation by (3.9500111582236) to get x
100/3.9500111582236=x
25.316384180791=x
x=25.316384180791

now we have:
44.81 is 25.316384180791% of 177