17 is what percent of 27.8 - 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 27.8 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 27.8, so we can write it down as 100%=27.8.
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%=27.8
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%=27.8/17
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 27.8

100%/x%=27.8/17
(100/x)*x=(27.8/17)*x       - we multiply both sides of the equation by x
100=1.6352941176471*x       - we divide both sides of the equation by (1.6352941176471) to get x
100/1.6352941176471=x
61.151079136691=x
x=61.151079136691

now we have:
17 is 61.151079136691% of 27.8