4.38 is what percent of 4.12 - 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 4.12 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 4.12, so we can write it down as 100%=4.12.
4. We know, that x% equals 4.38 of the output value, so we can write it down as x%=4.38.
5. Now we have two simple equations:
1) 100%=4.12
2) x%=4.38
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%=4.12/4.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.38 is what percent of 4.12

100%/x%=4.12/4.38
(100/x)*x=(4.12/4.38)*x       - we multiply both sides of the equation by x
100=0.94063926940639*x       - we divide both sides of the equation by (0.94063926940639) to get x
100/0.94063926940639=x
106.31067961165=x
x=106.31067961165

now we have:
4.38 is 106.31067961165% of 4.12