17.7 is what percent of 169 - 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 169 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 169, so we can write it down as 100%=169.
4. We know, that x% equals 17.7 of the output value, so we can write it down as x%=17.7.
5. Now we have two simple equations:
1) 100%=169
2) x%=17.7
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%=169/17.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.7 is what percent of 169

100%/x%=169/17.7
(100/x)*x=(169/17.7)*x       - we multiply both sides of the equation by x
100=9.5480225988701*x       - we divide both sides of the equation by (9.5480225988701) to get x
100/9.5480225988701=x
10.473372781065=x
x=10.473372781065

now we have:
17.7 is 10.473372781065% of 169