11 is what percent of 15.68 - 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 15.68 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 15.68, so we can write it down as 100%=15.68.
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%=15.68
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%=15.68/11
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 15.68

100%/x%=15.68/11
(100/x)*x=(15.68/11)*x       - we multiply both sides of the equation by x
100=1.4254545454545*x       - we divide both sides of the equation by (1.4254545454545) to get x
100/1.4254545454545=x
70.15306122449=x
x=70.15306122449

now we have:
11 is 70.15306122449% of 15.68