What is 49.35 percent of 468 - 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 468 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 468 is 100%, so we can write it down as 468=100%.
4. We know, that x is 49.35% of the output value, so we can write it down as x=49.35%.
5. Now we have two simple equations:
1) 468=100%
2) x=49.35%
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:
468/x=100%/49.35%
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 49.35% of 468

468/x=100/49.35
(468/x)*x=(100/49.35)*x       - we multiply both sides of the equation by x
468=2.0263424518744*x       - we divide both sides of the equation by (2.0263424518744) to get x
468/2.0263424518744=x
230.958=x
x=230.958

now we have:
49.35% of 468=230.958