What is 50.8 percent of 900 - 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 900 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 900 is 100%, so we can write it down as 900=100%.
4. We know, that x is 50.8% of the output value, so we can write it down as x=50.8%.
5. Now we have two simple equations:
1) 900=100%
2) x=50.8%
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:
900/x=100%/50.8%
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 50.8% of 900

900/x=100/50.8
(900/x)*x=(100/50.8)*x       - we multiply both sides of the equation by x
900=1.9685039370079*x       - we divide both sides of the equation by (1.9685039370079) to get x
900/1.9685039370079=x
457.2=x
x=457.2

now we have:
50.8% of 900=457.2