What is 76.8 percent of 55.5 - 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 55.5 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 55.5 is 100%, so we can write it down as 55.5=100%.
4. We know, that x is 76.8% of the output value, so we can write it down as x=76.8%.
5. Now we have two simple equations:
1) 55.5=100%
2) x=76.8%
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:
55.5/x=100%/76.8%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 76.8% of 55.5

55.5/x=100/76.8
(55.5/x)*x=(100/76.8)*x       - we multiply both sides of the equation by x
55.5=1.3020833333333*x       - we divide both sides of the equation by (1.3020833333333) to get x
55.5/1.3020833333333=x
42.624=x
x=42.624

now we have:
76.8% of 55.5=42.624