49.95 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 49.95 of the output value, so we can write it down as x%=49.95.
5. Now we have two simple equations:
1) 100%=60
2) x%=49.95
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%=60/49.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.95 is what percent of 60

100%/x%=60/49.95
(100/x)*x=(60/49.95)*x       - we multiply both sides of the equation by x
100=1.2012012012012*x       - we divide both sides of the equation by (1.2012012012012) to get x
100/1.2012012012012=x
83.25=x
x=83.25

now we have:
49.95 is 83.25% of 60