224.48 is what percent of 1826.75 - 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 1826.75 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 1826.75, so we can write it down as 100%=1826.75.
4. We know, that x% equals 224.48 of the output value, so we can write it down as x%=224.48.
5. Now we have two simple equations:
1) 100%=1826.75
2) x%=224.48
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%=1826.75/224.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 224.48 is what percent of 1826.75

100%/x%=1826.75/224.48
(100/x)*x=(1826.75/224.48)*x       - we multiply both sides of the equation by x
100=8.1376960085531*x       - we divide both sides of the equation by (8.1376960085531) to get x
100/8.1376960085531=x
12.288490488573=x
x=12.288490488573

now we have:
224.48 is 12.288490488573% of 1826.75