610.24 is what percent of 12.002 - 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 12.002 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 12.002, so we can write it down as 100%=12.002.
4. We know, that x% equals 610.24 of the output value, so we can write it down as x%=610.24.
5. Now we have two simple equations:
1) 100%=12.002
2) x%=610.24
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%=12.002/610.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 610.24 is what percent of 12.002

100%/x%=12.002/610.24
(100/x)*x=(12.002/610.24)*x       - we multiply both sides of the equation by x
100=0.019667671735711*x       - we divide both sides of the equation by (0.019667671735711) to get x
100/0.019667671735711=x
5084.4859190135=x
x=5084.4859190135

now we have:
610.24 is 5084.4859190135% of 12.002