What is 105.5 percent of 229.99 - 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 229.99 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 229.99 is 100%, so we can write it down as 229.99=100%.
4. We know, that x is 105.5% of the output value, so we can write it down as x=105.5%.
5. Now we have two simple equations:
1) 229.99=100%
2) x=105.5%
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:
229.99/x=100%/105.5%
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 105.5% of 229.99

229.99/x=100/105.5
(229.99/x)*x=(100/105.5)*x       - we multiply both sides of the equation by x
229.99=0.9478672985782*x       - we divide both sides of the equation by (0.9478672985782) to get x
229.99/0.9478672985782=x
242.63945=x
x=242.63945

now we have:
105.5% of 229.99=242.63945