56 is what percent of 462 - 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 462 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 462, so we can write it down as 100%=462.
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%=462
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%=462/56
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 462

100%/x%=462/56
(100/x)*x=(462/56)*x       - we multiply both sides of the equation by x
100=8.25*x       - we divide both sides of the equation by (8.25) to get x
100/8.25=x
12.121212121212=x
x=12.121212121212

now we have:
56 is 12.121212121212% of 462