56 is what percent of 177.5 - 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 177.5 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 177.5, so we can write it down as 100%=177.5.
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%=177.5
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%=177.5/56
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 177.5

100%/x%=177.5/56
(100/x)*x=(177.5/56)*x       - we multiply both sides of the equation by x
100=3.1696428571429*x       - we divide both sides of the equation by (3.1696428571429) to get x
100/3.1696428571429=x
31.549295774648=x
x=31.549295774648

now we have:
56 is 31.549295774648% of 177.5