17 is what percent of 167 - 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 167 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 167, so we can write it down as 100%=167.
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%=167
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%=167/17
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 167

100%/x%=167/17
(100/x)*x=(167/17)*x       - we multiply both sides of the equation by x
100=9.82352941176*x       - we divide both sides of the equation by (9.82352941176) to get x
100/9.82352941176=x
10.1796407186=x
x=10.1796407186

now we have:
17 is 10.1796407186% of 167