486 is what percent of 9 - 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 9 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 9, so we can write it down as 100%=9.
4. We know, that x% equals 486 of the output value, so we can write it down as x%=486.
5. Now we have two simple equations:
1) 100%=9
2) x%=486
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%=9/486
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 486 is what percent of 9

100%/x%=9/486
(100/x)*x=(9/486)*x       - we multiply both sides of the equation by x
100=0.018518518518519*x       - we divide both sides of the equation by (0.018518518518519) to get x
100/0.018518518518519=x
5400=x
x=5400

now we have:
486 is 5400% of 9