17 is what percent of 47.6 - 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 47.6 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 47.6, so we can write it down as 100%=47.6.
4. We know, that x% equals 17 of the output value, so we can write it down as x%=17.
5. Now we have two simple equations:
1) 100%=47.6
2) x%=17
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%=47.6/17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17 is what percent of 47.6

100%/x%=47.6/17
(100/x)*x=(47.6/17)*x       - we multiply both sides of the equation by x
100=2.8*x       - we divide both sides of the equation by (2.8) to get x
100/2.8=x
35.714285714286=x
x=35.714285714286

now we have:
17 is 35.714285714286% of 47.6