56 is what percent of 2378 - 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 2378 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 2378, so we can write it down as 100%=2378.
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%=2378
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%=2378/56
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 2378

100%/x%=2378/56
(100/x)*x=(2378/56)*x       - we multiply both sides of the equation by x
100=42.464285714286*x       - we divide both sides of the equation by (42.464285714286) to get x
100/42.464285714286=x
2.3549201009251=x
x=2.3549201009251

now we have:
56 is 2.3549201009251% of 2378