17.1 is what percent of 45.5 - 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 45.5 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 45.5, so we can write it down as 100%=45.5.
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%=45.5
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%=45.5/17.1
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 45.5

100%/x%=45.5/17.1
(100/x)*x=(45.5/17.1)*x       - we multiply both sides of the equation by x
100=2.6608187134503*x       - we divide both sides of the equation by (2.6608187134503) to get x
100/2.6608187134503=x
37.582417582418=x
x=37.582417582418

now we have:
17.1 is 37.582417582418% of 45.5