46.85 is what percent of 60 - 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 60 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 60, so we can write it down as 100%=60.
4. We know, that x% equals 46.85 of the output value, so we can write it down as x%=46.85.
5. Now we have two simple equations:
1) 100%=60
2) x%=46.85
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%=60/46.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.85 is what percent of 60

100%/x%=60/46.85
(100/x)*x=(60/46.85)*x       - we multiply both sides of the equation by x
100=1.2806830309498*x       - we divide both sides of the equation by (1.2806830309498) to get x
100/1.2806830309498=x
78.083333333333=x
x=78.083333333333

now we have:
46.85 is 78.083333333333% of 60