32.85 is what percent of 486.09 - 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 486.09 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 486.09, so we can write it down as 100%=486.09.
4. We know, that x% equals 32.85 of the output value, so we can write it down as x%=32.85.
5. Now we have two simple equations:
1) 100%=486.09
2) x%=32.85
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%=486.09/32.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.85 is what percent of 486.09

100%/x%=486.09/32.85
(100/x)*x=(486.09/32.85)*x       - we multiply both sides of the equation by x
100=14.797260273973*x       - we divide both sides of the equation by (14.797260273973) to get x
100/14.797260273973=x
6.7580077763377=x
x=6.7580077763377

now we have:
32.85 is 6.7580077763377% of 486.09