13 is what percent of 11.75 - 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 11.75 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 11.75, so we can write it down as 100%=11.75.
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%=11.75
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%=11.75/13
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 11.75

100%/x%=11.75/13
(100/x)*x=(11.75/13)*x       - we multiply both sides of the equation by x
100=0.90384615384615*x       - we divide both sides of the equation by (0.90384615384615) to get x
100/0.90384615384615=x
110.63829787234=x
x=110.63829787234

now we have:
13 is 110.63829787234% of 11.75