17 is what percent of 105 - 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 105 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 105, so we can write it down as 100%=105.
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%=105
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%=105/17
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 105

100%/x%=105/17
(100/x)*x=(105/17)*x       - we multiply both sides of the equation by x
100=6.17647058824*x       - we divide both sides of the equation by (6.17647058824) to get x
100/6.17647058824=x
16.1904761905=x
x=16.1904761905

now we have:
17 is 16.1904761905% of 105