56 is what percent of 345.5 - 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 345.5 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 345.5, so we can write it down as 100%=345.5.
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%=345.5
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%=345.5/56
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 345.5

100%/x%=345.5/56
(100/x)*x=(345.5/56)*x       - we multiply both sides of the equation by x
100=6.1696428571429*x       - we divide both sides of the equation by (6.1696428571429) to get x
100/6.1696428571429=x
16.208393632417=x
x=16.208393632417

now we have:
56 is 16.208393632417% of 345.5