What is 77.5 percent of 66.5 - 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 66.5 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 66.5 is 100%, so we can write it down as 66.5=100%.
4. We know, that x is 77.5% of the output value, so we can write it down as x=77.5%.
5. Now we have two simple equations:
1) 66.5=100%
2) x=77.5%
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:
66.5/x=100%/77.5%
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 77.5% of 66.5

66.5/x=100/77.5
(66.5/x)*x=(100/77.5)*x       - we multiply both sides of the equation by x
66.5=1.2903225806452*x       - we divide both sides of the equation by (1.2903225806452) to get x
66.5/1.2903225806452=x
51.5375=x
x=51.5375

now we have:
77.5% of 66.5=51.5375