244.61 is what percent of 825 - 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 825 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 825, so we can write it down as 100%=825.
4. We know, that x% equals 244.61 of the output value, so we can write it down as x%=244.61.
5. Now we have two simple equations:
1) 100%=825
2) x%=244.61
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%=825/244.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 244.61 is what percent of 825

100%/x%=825/244.61
(100/x)*x=(825/244.61)*x       - we multiply both sides of the equation by x
100=3.3727157516046*x       - we divide both sides of the equation by (3.3727157516046) to get x
100/3.3727157516046=x
29.649696969697=x
x=29.649696969697

now we have:
244.61 is 29.649696969697% of 825