4800.02 is what percent of 60000.2 - 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 60000.2 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 60000.2, so we can write it down as 100%=60000.2.
4. We know, that x% equals 4800.02 of the output value, so we can write it down as x%=4800.02.
5. Now we have two simple equations:
1) 100%=60000.2
2) x%=4800.02
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%=60000.2/4800.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4800.02 is what percent of 60000.2

100%/x%=60000.2/4800.02
(100/x)*x=(60000.2/4800.02)*x       - we multiply both sides of the equation by x
100=12.499989583377*x       - we divide both sides of the equation by (12.499989583377) to get x
100/12.499989583377=x
8.0000066666444=x
x=8.0000066666444

now we have:
4800.02 is 8.0000066666444% of 60000.2