56 is what percent of 3855 - 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 3855 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 3855, so we can write it down as 100%=3855.
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%=3855
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%=3855/56
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 3855

100%/x%=3855/56
(100/x)*x=(3855/56)*x       - we multiply both sides of the equation by x
100=68.839285714286*x       - we divide both sides of the equation by (68.839285714286) to get x
100/68.839285714286=x
1.4526588845655=x
x=1.4526588845655

now we have:
56 is 1.4526588845655% of 3855