What is 52.7 percent of 76.8 - 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 76.8 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 76.8 is 100%, so we can write it down as 76.8=100%.
4. We know, that x is 52.7% of the output value, so we can write it down as x=52.7%.
5. Now we have two simple equations:
1) 76.8=100%
2) x=52.7%
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:
76.8/x=100%/52.7%
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 52.7% of 76.8

76.8/x=100/52.7
(76.8/x)*x=(100/52.7)*x       - we multiply both sides of the equation by x
76.8=1.8975332068311*x       - we divide both sides of the equation by (1.8975332068311) to get x
76.8/1.8975332068311=x
40.4736=x
x=40.4736

now we have:
52.7% of 76.8=40.4736