11 is what percent of 757 - 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 757 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 757, so we can write it down as 100%=757.
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%=757
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%=757/11
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 757

100%/x%=757/11
(100/x)*x=(757/11)*x       - we multiply both sides of the equation by x
100=68.818181818182*x       - we divide both sides of the equation by (68.818181818182) to get x
100/68.818181818182=x
1.4531043593131=x
x=1.4531043593131

now we have:
11 is 1.4531043593131% of 757