11 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 11 of the output value, so we can write it down as x%=11.
5. Now we have two simple equations:
1) 100%=169
2) x%=11
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%=169/11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11 is what percent of 169

100%/x%=169/11
(100/x)*x=(169/11)*x       - we multiply both sides of the equation by x
100=15.3636363636*x       - we divide both sides of the equation by (15.3636363636) to get x
100/15.3636363636=x
6.50887573964=x
x=6.50887573964

now we have:
11 is 6.50887573964% of 169