What is 2 percent of 463.86 - 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 463.86 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 463.86 is 100%, so we can write it down as 463.86=100%.
4. We know, that x is 2% of the output value, so we can write it down as x=2%.
5. Now we have two simple equations:
1) 463.86=100%
2) x=2%
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:
463.86/x=100%/2%
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 2% of 463.86

463.86/x=100/2
(463.86/x)*x=(100/2)*x       - we multiply both sides of the equation by x
463.86=50*x       - we divide both sides of the equation by (50) to get x
463.86/50=x
9.2772=x
x=9.2772

now we have:
2% of 463.86=9.2772