17.3 is what percent of 144.8 - 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 144.8 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 144.8, so we can write it down as 100%=144.8.
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%=144.8
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%=144.8/17.3
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 144.8

100%/x%=144.8/17.3
(100/x)*x=(144.8/17.3)*x       - we multiply both sides of the equation by x
100=8.3699421965318*x       - we divide both sides of the equation by (8.3699421965318) to get x
100/8.3699421965318=x
11.947513812155=x
x=11.947513812155

now we have:
17.3 is 11.947513812155% of 144.8