260.76 is what percent of 1263.65 - 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 1263.65 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 1263.65, so we can write it down as 100%=1263.65.
4. We know, that x% equals 260.76 of the output value, so we can write it down as x%=260.76.
5. Now we have two simple equations:
1) 100%=1263.65
2) x%=260.76
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%=1263.65/260.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 260.76 is what percent of 1263.65

100%/x%=1263.65/260.76
(100/x)*x=(1263.65/260.76)*x       - we multiply both sides of the equation by x
100=4.8460269980058*x       - we divide both sides of the equation by (4.8460269980058) to get x
100/4.8460269980058=x
20.635460768409=x
x=20.635460768409

now we have:
260.76 is 20.635460768409% of 1263.65