What is 109.6 percent of 48 - 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 48 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 48 is 100%, so we can write it down as 48=100%.
4. We know, that x is 109.6% of the output value, so we can write it down as x=109.6%.
5. Now we have two simple equations:
1) 48=100%
2) x=109.6%
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:
48/x=100%/109.6%
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 109.6% of 48

48/x=100/109.6
(48/x)*x=(100/109.6)*x       - we multiply both sides of the equation by x
48=0.91240875912409*x       - we divide both sides of the equation by (0.91240875912409) to get x
48/0.91240875912409=x
52.608=x
x=52.608

now we have:
109.6% of 48=52.608