56 is what percent of 2640 - 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 2640 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 2640, so we can write it down as 100%=2640.
4. We know, that x% equals 56 of the output value, so we can write it down as x%=56.
5. Now we have two simple equations:
1) 100%=2640
2) x%=56
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%=2640/56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56 is what percent of 2640

100%/x%=2640/56
(100/x)*x=(2640/56)*x       - we multiply both sides of the equation by x
100=47.142857142857*x       - we divide both sides of the equation by (47.142857142857) to get x
100/47.142857142857=x
2.1212121212121=x
x=2.1212121212121

now we have:
56 is 2.1212121212121% of 2640