13 is what percent of 11071 - 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 11071 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 11071, so we can write it down as 100%=11071.
4. We know, that x% equals 13 of the output value, so we can write it down as x%=13.
5. Now we have two simple equations:
1) 100%=11071
2) x%=13
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%=11071/13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13 is what percent of 11071

100%/x%=11071/13
(100/x)*x=(11071/13)*x       - we multiply both sides of the equation by x
100=851.61538461538*x       - we divide both sides of the equation by (851.61538461538) to get x
100/851.61538461538=x
0.11742390028001=x
x=0.11742390028001

now we have:
13 is 0.11742390028001% of 11071