386.78 is what percent of 485 - 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 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, so we can write it down as 100%=485.
4. We know, that x% equals 386.78 of the output value, so we can write it down as x%=386.78.
5. Now we have two simple equations:
1) 100%=485
2) x%=386.78
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%=485/386.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 386.78 is what percent of 485

100%/x%=485/386.78
(100/x)*x=(485/386.78)*x       - we multiply both sides of the equation by x
100=1.2539428098661*x       - we divide both sides of the equation by (1.2539428098661) to get x
100/1.2539428098661=x
79.748453608247=x
x=79.748453608247

now we have:
386.78 is 79.748453608247% of 485