269.27 is what percent of 2107.88 - 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 2107.88 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 2107.88, so we can write it down as 100%=2107.88.
4. We know, that x% equals 269.27 of the output value, so we can write it down as x%=269.27.
5. Now we have two simple equations:
1) 100%=2107.88
2) x%=269.27
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%=2107.88/269.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 269.27 is what percent of 2107.88

100%/x%=2107.88/269.27
(100/x)*x=(2107.88/269.27)*x       - we multiply both sides of the equation by x
100=7.8281279013629*x       - we divide both sides of the equation by (7.8281279013629) to get x
100/7.8281279013629=x
12.774446363171=x
x=12.774446363171

now we have:
269.27 is 12.774446363171% of 2107.88