447.38 is what percent of 2469.45 - 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 2469.45 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 2469.45, so we can write it down as 100%=2469.45.
4. We know, that x% equals 447.38 of the output value, so we can write it down as x%=447.38.
5. Now we have two simple equations:
1) 100%=2469.45
2) x%=447.38
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%=2469.45/447.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 447.38 is what percent of 2469.45

100%/x%=2469.45/447.38
(100/x)*x=(2469.45/447.38)*x       - we multiply both sides of the equation by x
100=5.5198041933032*x       - we divide both sides of the equation by (5.5198041933032) to get x
100/5.5198041933032=x
18.116584664601=x
x=18.116584664601

now we have:
447.38 is 18.116584664601% of 2469.45