109.91 is what percent of 222.75 - 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 222.75 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 222.75, so we can write it down as 100%=222.75.
4. We know, that x% equals 109.91 of the output value, so we can write it down as x%=109.91.
5. Now we have two simple equations:
1) 100%=222.75
2) x%=109.91
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%=222.75/109.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 109.91 is what percent of 222.75

100%/x%=222.75/109.91
(100/x)*x=(222.75/109.91)*x       - we multiply both sides of the equation by x
100=2.0266581748703*x       - we divide both sides of the equation by (2.0266581748703) to get x
100/2.0266581748703=x
49.342312008979=x
x=49.342312008979

now we have:
109.91 is 49.342312008979% of 222.75