What is 48.75 percent of 1600 - 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 1600 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 1600 is 100%, so we can write it down as 1600=100%.
4. We know, that x is 48.75% of the output value, so we can write it down as x=48.75%.
5. Now we have two simple equations:
1) 1600=100%
2) x=48.75%
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:
1600/x=100%/48.75%
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 48.75% of 1600

1600/x=100/48.75
(1600/x)*x=(100/48.75)*x       - we multiply both sides of the equation by x
1600=2.0512820512821*x       - we divide both sides of the equation by (2.0512820512821) to get x
1600/2.0512820512821=x
780=x
x=780

now we have:
48.75% of 1600=780