What is 109.2 percent of 267.5 - 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 267.5 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 267.5 is 100%, so we can write it down as 267.5=100%.
4. We know, that x is 109.2% of the output value, so we can write it down as x=109.2%.
5. Now we have two simple equations:
1) 267.5=100%
2) x=109.2%
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:
267.5/x=100%/109.2%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 109.2% of 267.5

267.5/x=100/109.2
(267.5/x)*x=(100/109.2)*x       - we multiply both sides of the equation by x
267.5=0.91575091575092*x       - we divide both sides of the equation by (0.91575091575092) to get x
267.5/0.91575091575092=x
292.11=x
x=292.11

now we have:
109.2% of 267.5=292.11