What is 49.56 percent of 99.9 - 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 99.9 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 99.9 is 100%, so we can write it down as 99.9=100%.
4. We know, that x is 49.56% of the output value, so we can write it down as x=49.56%.
5. Now we have two simple equations:
1) 99.9=100%
2) x=49.56%
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:
99.9/x=100%/49.56%
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 49.56% of 99.9

99.9/x=100/49.56
(99.9/x)*x=(100/49.56)*x       - we multiply both sides of the equation by x
99.9=2.0177562550444*x       - we divide both sides of the equation by (2.0177562550444) to get x
99.9/2.0177562550444=x
49.51044=x
x=49.51044

now we have:
49.56% of 99.9=49.51044