56 is what percent of 113400 - 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 113400 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 113400, so we can write it down as 100%=113400.
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%=113400
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%=113400/56
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 113400

100%/x%=113400/56
(100/x)*x=(113400/56)*x       - we multiply both sides of the equation by x
100=2025*x       - we divide both sides of the equation by (2025) to get x
100/2025=x
0.049382716049383=x
x=0.049382716049383

now we have:
56 is 0.049382716049383% of 113400