119.23 is what percent of 2409.25 - 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 2409.25 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 2409.25, so we can write it down as 100%=2409.25.
4. We know, that x% equals 119.23 of the output value, so we can write it down as x%=119.23.
5. Now we have two simple equations:
1) 100%=2409.25
2) x%=119.23
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%=2409.25/119.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 119.23 is what percent of 2409.25

100%/x%=2409.25/119.23
(100/x)*x=(2409.25/119.23)*x       - we multiply both sides of the equation by x
100=20.206743269311*x       - we divide both sides of the equation by (20.206743269311) to get x
100/20.206743269311=x
4.9488430009339=x
x=4.9488430009339

now we have:
119.23 is 4.9488430009339% of 2409.25