273.58 is what percent of 2425.5 - 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 2425.5 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 100% equals 2425.5, so we can write it down as 100%=2425.5.
4. We know, that x% equals 273.58 of the output value, so we can write it down as x%=273.58.
5. Now we have two simple equations:
1) 100%=2425.5
2) x%=273.58
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%=2425.5/273.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 273.58 is what percent of 2425.5

100%/x%=2425.5/273.58
(100/x)*x=(2425.5/273.58)*x       - we multiply both sides of the equation by x
100=8.865779662256*x       - we divide both sides of the equation by (8.865779662256) to get x
100/8.865779662256=x
11.279323850752=x
x=11.279323850752

now we have:
273.58 is 11.279323850752% of 2425.5