475000 is what percent of 489900 - 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 489900 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 489900, so we can write it down as 100%=489900.
4. We know, that x% equals 475000 of the output value, so we can write it down as x%=475000.
5. Now we have two simple equations:
1) 100%=489900
2) x%=475000
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%=489900/475000
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 475000 is what percent of 489900

100%/x%=489900/475000
(100/x)*x=(489900/475000)*x       - we multiply both sides of the equation by x
100=1.0313684210526*x       - we divide both sides of the equation by (1.0313684210526) to get x
100/1.0313684210526=x
96.958562972035=x
x=96.958562972035

now we have:
475000 is 96.958562972035% of 489900