17.3 is what percent of 113.6 - 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 113.6 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 113.6, so we can write it down as 100%=113.6.
4. We know, that x% equals 17.3 of the output value, so we can write it down as x%=17.3.
5. Now we have two simple equations:
1) 100%=113.6
2) x%=17.3
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%=113.6/17.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.3 is what percent of 113.6

100%/x%=113.6/17.3
(100/x)*x=(113.6/17.3)*x       - we multiply both sides of the equation by x
100=6.5664739884393*x       - we divide both sides of the equation by (6.5664739884393) to get x
100/6.5664739884393=x
15.228873239437=x
x=15.228873239437

now we have:
17.3 is 15.228873239437% of 113.6