108.22 is what percent of 450 - 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 450 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 450, so we can write it down as 100%=450.
4. We know, that x% equals 108.22 of the output value, so we can write it down as x%=108.22.
5. Now we have two simple equations:
1) 100%=450
2) x%=108.22
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%=450/108.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 108.22 is what percent of 450

100%/x%=450/108.22
(100/x)*x=(450/108.22)*x       - we multiply both sides of the equation by x
100=4.1581962668638*x       - we divide both sides of the equation by (4.1581962668638) to get x
100/4.1581962668638=x
24.048888888889=x
x=24.048888888889

now we have:
108.22 is 24.048888888889% of 450