31.95 is what percent of 485.18 - 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 485.18 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 485.18, so we can write it down as 100%=485.18.
4. We know, that x% equals 31.95 of the output value, so we can write it down as x%=31.95.
5. Now we have two simple equations:
1) 100%=485.18
2) x%=31.95
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%=485.18/31.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.95 is what percent of 485.18

100%/x%=485.18/31.95
(100/x)*x=(485.18/31.95)*x       - we multiply both sides of the equation by x
100=15.185602503912*x       - we divide both sides of the equation by (15.185602503912) to get x
100/15.185602503912=x
6.5851848798384=x
x=6.5851848798384

now we have:
31.95 is 6.5851848798384% of 485.18