259.98 is what percent of 1204.79 - 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 1204.79 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 1204.79, so we can write it down as 100%=1204.79.
4. We know, that x% equals 259.98 of the output value, so we can write it down as x%=259.98.
5. Now we have two simple equations:
1) 100%=1204.79
2) x%=259.98
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%=1204.79/259.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 259.98 is what percent of 1204.79

100%/x%=1204.79/259.98
(100/x)*x=(1204.79/259.98)*x       - we multiply both sides of the equation by x
100=4.6341641664743*x       - we divide both sides of the equation by (4.6341641664743) to get x
100/4.6341641664743=x
21.578864366404=x
x=21.578864366404

now we have:
259.98 is 21.578864366404% of 1204.79