17.1 is what percent of 42 - 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 42 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 42, so we can write it down as 100%=42.
4. We know, that x% equals 17.1 of the output value, so we can write it down as x%=17.1.
5. Now we have two simple equations:
1) 100%=42
2) x%=17.1
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%=42/17.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.1 is what percent of 42

100%/x%=42/17.1
(100/x)*x=(42/17.1)*x       - we multiply both sides of the equation by x
100=2.4561403508772*x       - we divide both sides of the equation by (2.4561403508772) to get x
100/2.4561403508772=x
40.714285714286=x
x=40.714285714286

now we have:
17.1 is 40.714285714286% of 42