17 is what percent of 217 - 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 217 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 217, so we can write it down as 100%=217.
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%=217
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%=217/17
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 217

100%/x%=217/17
(100/x)*x=(217/17)*x       - we multiply both sides of the equation by x
100=12.7647058824*x       - we divide both sides of the equation by (12.7647058824) to get x
100/12.7647058824=x
7.83410138249=x
x=7.83410138249

now we have:
17 is 7.83410138249% of 217