What is 2 percent of 563.25 - 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 563.25 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 563.25 is 100%, so we can write it down as 563.25=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) 563.25=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:
563.25/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 563.25

563.25/x=100/2
(563.25/x)*x=(100/2)*x       - we multiply both sides of the equation by x
563.25=50*x       - we divide both sides of the equation by (50) to get x
563.25/50=x
11.265=x
x=11.265

now we have:
2% of 563.25=11.265