17 is what percent of 254.16 - 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 254.16 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 254.16, so we can write it down as 100%=254.16.
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%=254.16
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%=254.16/17
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 254.16

100%/x%=254.16/17
(100/x)*x=(254.16/17)*x       - we multiply both sides of the equation by x
100=14.950588235294*x       - we divide both sides of the equation by (14.950588235294) to get x
100/14.950588235294=x
6.6887000314762=x
x=6.6887000314762

now we have:
17 is 6.6887000314762% of 254.16