204000.24 is what percent of 489000 - 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 489000 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 489000, so we can write it down as 100%=489000.
4. We know, that x% equals 204000.24 of the output value, so we can write it down as x%=204000.24.
5. Now we have two simple equations:
1) 100%=489000
2) x%=204000.24
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%=489000/204000.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 204000.24 is what percent of 489000

100%/x%=489000/204000.24
(100/x)*x=(489000/204000.24)*x       - we multiply both sides of the equation by x
100=2.3970560034635*x       - we divide both sides of the equation by (2.3970560034635) to get x
100/2.3970560034635=x
41.717840490798=x
x=41.717840490798

now we have:
204000.24 is 41.717840490798% of 489000