264.02 is what percent of 1280 - 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 1280 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 1280, so we can write it down as 100%=1280.
4. We know, that x% equals 264.02 of the output value, so we can write it down as x%=264.02.
5. Now we have two simple equations:
1) 100%=1280
2) x%=264.02
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%=1280/264.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 264.02 is what percent of 1280

100%/x%=1280/264.02
(100/x)*x=(1280/264.02)*x       - we multiply both sides of the equation by x
100=4.848117566851*x       - we divide both sides of the equation by (4.848117566851) to get x
100/4.848117566851=x
20.6265625=x
x=20.6265625

now we have:
264.02 is 20.6265625% of 1280