486.9 is what percent of 3215 - 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 3215 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 3215, so we can write it down as 100%=3215.
4. We know, that x% equals 486.9 of the output value, so we can write it down as x%=486.9.
5. Now we have two simple equations:
1) 100%=3215
2) x%=486.9
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%=3215/486.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 486.9 is what percent of 3215

100%/x%=3215/486.9
(100/x)*x=(3215/486.9)*x       - we multiply both sides of the equation by x
100=6.6029985623331*x       - we divide both sides of the equation by (6.6029985623331) to get x
100/6.6029985623331=x
15.144634525661=x
x=15.144634525661

now we have:
486.9 is 15.144634525661% of 3215