56 is what percent of 1105 - 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 1105 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 1105, so we can write it down as 100%=1105.
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%=1105
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%=1105/56
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 1105

100%/x%=1105/56
(100/x)*x=(1105/56)*x       - we multiply both sides of the equation by x
100=19.732142857143*x       - we divide both sides of the equation by (19.732142857143) to get x
100/19.732142857143=x
5.0678733031674=x
x=5.0678733031674

now we have:
56 is 5.0678733031674% of 1105