269.88 is what percent of 3405 - 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 3405 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 3405, so we can write it down as 100%=3405.
4. We know, that x% equals 269.88 of the output value, so we can write it down as x%=269.88.
5. Now we have two simple equations:
1) 100%=3405
2) x%=269.88
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%=3405/269.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 269.88 is what percent of 3405

100%/x%=3405/269.88
(100/x)*x=(3405/269.88)*x       - we multiply both sides of the equation by x
100=12.616718541574*x       - we divide both sides of the equation by (12.616718541574) to get x
100/12.616718541574=x
7.9259911894273=x
x=7.9259911894273

now we have:
269.88 is 7.9259911894273% of 3405