46.58 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 46.58 of the output value, so we can write it down as x%=46.58.
5. Now we have two simple equations:
1) 100%=60
2) x%=46.58
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%=60/46.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.58 is what percent of 60

100%/x%=60/46.58
(100/x)*x=(60/46.58)*x       - we multiply both sides of the equation by x
100=1.2881064834693*x       - we divide both sides of the equation by (1.2881064834693) to get x
100/1.2881064834693=x
77.633333333333=x
x=77.633333333333

now we have:
46.58 is 77.633333333333% of 60