60.42 is what percent of 60.8 - 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 60.8 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 60.8, so we can write it down as 100%=60.8.
4. We know, that x% equals 60.42 of the output value, so we can write it down as x%=60.42.
5. Now we have two simple equations:
1) 100%=60.8
2) x%=60.42
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%=60.8/60.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 60.42 is what percent of 60.8

100%/x%=60.8/60.42
(100/x)*x=(60.8/60.42)*x       - we multiply both sides of the equation by x
100=1.0062893081761*x       - we divide both sides of the equation by (1.0062893081761) to get x
100/1.0062893081761=x
99.375=x
x=99.375

now we have:
60.42 is 99.375% of 60.8