42.11 is what percent of 325.69 - 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 325.69 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 325.69, so we can write it down as 100%=325.69.
4. We know, that x% equals 42.11 of the output value, so we can write it down as x%=42.11.
5. Now we have two simple equations:
1) 100%=325.69
2) x%=42.11
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%=325.69/42.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.11 is what percent of 325.69

100%/x%=325.69/42.11
(100/x)*x=(325.69/42.11)*x       - we multiply both sides of the equation by x
100=7.7342673949181*x       - we divide both sides of the equation by (7.7342673949181) to get x
100/7.7342673949181=x
12.929472811569=x
x=12.929472811569

now we have:
42.11 is 12.929472811569% of 325.69