What is 77.3 percent of 39.5 - 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 39.5 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 39.5 is 100%, so we can write it down as 39.5=100%.
4. We know, that x is 77.3% of the output value, so we can write it down as x=77.3%.
5. Now we have two simple equations:
1) 39.5=100%
2) x=77.3%
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:
39.5/x=100%/77.3%
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 77.3% of 39.5

39.5/x=100/77.3
(39.5/x)*x=(100/77.3)*x       - we multiply both sides of the equation by x
39.5=1.2936610608021*x       - we divide both sides of the equation by (1.2936610608021) to get x
39.5/1.2936610608021=x
30.5335=x
x=30.5335

now we have:
77.3% of 39.5=30.5335