7.44 is what percent of 122.48 - 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 122.48 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 122.48, so we can write it down as 100%=122.48.
4. We know, that x% equals 7.44 of the output value, so we can write it down as x%=7.44.
5. Now we have two simple equations:
1) 100%=122.48
2) x%=7.44
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%=122.48/7.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.44 is what percent of 122.48

100%/x%=122.48/7.44
(100/x)*x=(122.48/7.44)*x       - we multiply both sides of the equation by x
100=16.462365591398*x       - we divide both sides of the equation by (16.462365591398) to get x
100/16.462365591398=x
6.0744611365121=x
x=6.0744611365121

now we have:
7.44 is 6.0744611365121% of 122.48