123.08 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 123.08 of the output value, so we can write it down as x%=123.08.
5. Now we have two simple equations:
1) 100%=450
2) x%=123.08
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%=450/123.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 123.08 is what percent of 450

100%/x%=450/123.08
(100/x)*x=(450/123.08)*x       - we multiply both sides of the equation by x
100=3.6561585960351*x       - we divide both sides of the equation by (3.6561585960351) to get x
100/3.6561585960351=x
27.351111111111=x
x=27.351111111111

now we have:
123.08 is 27.351111111111% of 450