29.25 is what percent of 486 - 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 486 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 486, so we can write it down as 100%=486.
4. We know, that x% equals 29.25 of the output value, so we can write it down as x%=29.25.
5. Now we have two simple equations:
1) 100%=486
2) x%=29.25
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%=486/29.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.25 is what percent of 486

100%/x%=486/29.25
(100/x)*x=(486/29.25)*x       - we multiply both sides of the equation by x
100=16.615384615385*x       - we divide both sides of the equation by (16.615384615385) to get x
100/16.615384615385=x
6.0185185185185=x
x=6.0185185185185

now we have:
29.25 is 6.0185185185185% of 486