261.3 is what percent of 1259 - 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 1259 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 1259, so we can write it down as 100%=1259.
4. We know, that x% equals 261.3 of the output value, so we can write it down as x%=261.3.
5. Now we have two simple equations:
1) 100%=1259
2) x%=261.3
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%=1259/261.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 261.3 is what percent of 1259

100%/x%=1259/261.3
(100/x)*x=(1259/261.3)*x       - we multiply both sides of the equation by x
100=4.8182166092614*x       - we divide both sides of the equation by (4.8182166092614) to get x
100/4.8182166092614=x
20.754567116759=x
x=20.754567116759

now we have:
261.3 is 20.754567116759% of 1259