41.44 is what percent of 123.12 - 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 123.12 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 123.12, so we can write it down as 100%=123.12.
4. We know, that x% equals 41.44 of the output value, so we can write it down as x%=41.44.
5. Now we have two simple equations:
1) 100%=123.12
2) x%=41.44
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%=123.12/41.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.44 is what percent of 123.12

100%/x%=123.12/41.44
(100/x)*x=(123.12/41.44)*x       - we multiply both sides of the equation by x
100=2.9710424710425*x       - we divide both sides of the equation by (2.9710424710425) to get x
100/2.9710424710425=x
33.658219623132=x
x=33.658219623132

now we have:
41.44 is 33.658219623132% of 123.12