56 is what percent of 405 - 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 405 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 405, so we can write it down as 100%=405.
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%=405
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%=405/56
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 405

100%/x%=405/56
(100/x)*x=(405/56)*x       - we multiply both sides of the equation by x
100=7.2321428571429*x       - we divide both sides of the equation by (7.2321428571429) to get x
100/7.2321428571429=x
13.827160493827=x
x=13.827160493827

now we have:
56 is 13.827160493827% of 405