8.01 is what percent of 7.44 - 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 7.44 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 7.44, so we can write it down as 100%=7.44.
4. We know, that x% equals 8.01 of the output value, so we can write it down as x%=8.01.
5. Now we have two simple equations:
1) 100%=7.44
2) x%=8.01
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%=7.44/8.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.01 is what percent of 7.44

100%/x%=7.44/8.01
(100/x)*x=(7.44/8.01)*x       - we multiply both sides of the equation by x
100=0.92883895131086*x       - we divide both sides of the equation by (0.92883895131086) to get x
100/0.92883895131086=x
107.66129032258=x
x=107.66129032258

now we have:
8.01 is 107.66129032258% of 7.44