4.42 is what percent of 12.577 - 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 12.577 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 12.577, so we can write it down as 100%=12.577.
4. We know, that x% equals 4.42 of the output value, so we can write it down as x%=4.42.
5. Now we have two simple equations:
1) 100%=12.577
2) x%=4.42
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%=12.577/4.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.42 is what percent of 12.577

100%/x%=12.577/4.42
(100/x)*x=(12.577/4.42)*x       - we multiply both sides of the equation by x
100=2.8454751131222*x       - we divide both sides of the equation by (2.8454751131222) to get x
100/2.8454751131222=x
35.143515941799=x
x=35.143515941799

now we have:
4.42 is 35.143515941799% of 12.577