1.33 is what percent of 110 - 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 110 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 110, so we can write it down as 100%=110.
4. We know, that x% equals 1.33 of the output value, so we can write it down as x%=1.33.
5. Now we have two simple equations:
1) 100%=110
2) x%=1.33
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%=110/1.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.33 is what percent of 110

100%/x%=110/1.33
(100/x)*x=(110/1.33)*x       - we multiply both sides of the equation by x
100=82.706766917293*x       - we divide both sides of the equation by (82.706766917293) to get x
100/82.706766917293=x
1.2090909090909=x
x=1.2090909090909

now we have:
1.33 is 1.2090909090909% of 110