What is 46.5 percent of 77.5 - 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 77.5 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 77.5 is 100%, so we can write it down as 77.5=100%.
4. We know, that x is 46.5% of the output value, so we can write it down as x=46.5%.
5. Now we have two simple equations:
1) 77.5=100%
2) x=46.5%
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:
77.5/x=100%/46.5%
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 46.5% of 77.5

77.5/x=100/46.5
(77.5/x)*x=(100/46.5)*x       - we multiply both sides of the equation by x
77.5=2.1505376344086*x       - we divide both sides of the equation by (2.1505376344086) to get x
77.5/2.1505376344086=x
36.0375=x
x=36.0375

now we have:
46.5% of 77.5=36.0375