12.47 is what percent of 201.5 - 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 201.5 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 201.5, so we can write it down as 100%=201.5.
4. We know, that x% equals 12.47 of the output value, so we can write it down as x%=12.47.
5. Now we have two simple equations:
1) 100%=201.5
2) x%=12.47
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%=201.5/12.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.47 is what percent of 201.5

100%/x%=201.5/12.47
(100/x)*x=(201.5/12.47)*x       - we multiply both sides of the equation by x
100=16.158781074579*x       - we divide both sides of the equation by (16.158781074579) to get x
100/16.158781074579=x
6.1885856079404=x
x=6.1885856079404

now we have:
12.47 is 6.1885856079404% of 201.5