What is 20.75 percent of 1205 - 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 1205 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 1205 is 100%, so we can write it down as 1205=100%.
4. We know, that x is 20.75% of the output value, so we can write it down as x=20.75%.
5. Now we have two simple equations:
1) 1205=100%
2) x=20.75%
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:
1205/x=100%/20.75%
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 20.75% of 1205

1205/x=100/20.75
(1205/x)*x=(100/20.75)*x       - we multiply both sides of the equation by x
1205=4.8192771084337*x       - we divide both sides of the equation by (4.8192771084337) to get x
1205/4.8192771084337=x
250.0375=x
x=250.0375

now we have:
20.75% of 1205=250.0375