26.14 is what percent of 1306.63 - 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 1306.63 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 1306.63, so we can write it down as 100%=1306.63.
4. We know, that x% equals 26.14 of the output value, so we can write it down as x%=26.14.
5. Now we have two simple equations:
1) 100%=1306.63
2) x%=26.14
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%=1306.63/26.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.14 is what percent of 1306.63

100%/x%=1306.63/26.14
(100/x)*x=(1306.63/26.14)*x       - we multiply both sides of the equation by x
100=49.98584544759*x       - we divide both sides of the equation by (49.98584544759) to get x
100/49.98584544759=x
2.0005663424229=x
x=2.0005663424229

now we have:
26.14 is 2.0005663424229% of 1306.63