What is 45.5 percent of 105 - 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 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 is 100%, so we can write it down as 105=100%.
4. We know, that x is 45.5% of the output value, so we can write it down as x=45.5%.
5. Now we have two simple equations:
1) 105=100%
2) x=45.5%
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/x=100%/45.5%
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 45.5% of 105

105/x=100/45.5
(105/x)*x=(100/45.5)*x       - we multiply both sides of the equation by x
105=2.1978021978022*x       - we divide both sides of the equation by (2.1978021978022) to get x
105/2.1978021978022=x
47.775=x
x=47.775

now we have:
45.5% of 105=47.775