What is 48.5 percent of 105.99 - 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 105.99 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 105.99 is 100%, so we can write it down as 105.99=100%.
4. We know, that x is 48.5% of the output value, so we can write it down as x=48.5%.
5. Now we have two simple equations:
1) 105.99=100%
2) x=48.5%
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:
105.99/x=100%/48.5%
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 48.5% of 105.99

105.99/x=100/48.5
(105.99/x)*x=(100/48.5)*x       - we multiply both sides of the equation by x
105.99=2.0618556701031*x       - we divide both sides of the equation by (2.0618556701031) to get x
105.99/2.0618556701031=x
51.40515=x
x=51.40515

now we have:
48.5% of 105.99=51.40515