483.2 is what percent of 485.85 - 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 485.85 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 100% equals 485.85, so we can write it down as 100%=485.85.
4. We know, that x% equals 483.2 of the output value, so we can write it down as x%=483.2.
5. Now we have two simple equations:
1) 100%=485.85
2) x%=483.2
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:
100%/x%=485.85/483.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 483.2 is what percent of 485.85

100%/x%=485.85/483.2
(100/x)*x=(485.85/483.2)*x       - we multiply both sides of the equation by x
100=1.0054842715232*x       - we divide both sides of the equation by (1.0054842715232) to get x
100/1.0054842715232=x
99.454564165895=x
x=99.454564165895

now we have:
483.2 is 99.454564165895% of 485.85