60 is what percent of 48.45 - 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 48.45 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 48.45, so we can write it down as 100%=48.45.
4. We know, that x% equals 60 of the output value, so we can write it down as x%=60.
5. Now we have two simple equations:
1) 100%=48.45
2) x%=60
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%=48.45/60
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 60 is what percent of 48.45

100%/x%=48.45/60
(100/x)*x=(48.45/60)*x       - we multiply both sides of the equation by x
100=0.8075*x       - we divide both sides of the equation by (0.8075) to get x
100/0.8075=x
123.83900928793=x
x=123.83900928793

now we have:
60 is 123.83900928793% of 48.45