11.67 is what percent of 13.23 - 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 13.23 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 13.23, so we can write it down as 100%=13.23.
4. We know, that x% equals 11.67 of the output value, so we can write it down as x%=11.67.
5. Now we have two simple equations:
1) 100%=13.23
2) x%=11.67
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%=13.23/11.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.67 is what percent of 13.23

100%/x%=13.23/11.67
(100/x)*x=(13.23/11.67)*x       - we multiply both sides of the equation by x
100=1.133676092545*x       - we divide both sides of the equation by (1.133676092545) to get x
100/1.133676092545=x
88.208616780045=x
x=88.208616780045

now we have:
11.67 is 88.208616780045% of 13.23