12.43 is what percent of 6.11 - 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 6.11 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 6.11, so we can write it down as 100%=6.11.
4. We know, that x% equals 12.43 of the output value, so we can write it down as x%=12.43.
5. Now we have two simple equations:
1) 100%=6.11
2) x%=12.43
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%=6.11/12.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.43 is what percent of 6.11

100%/x%=6.11/12.43
(100/x)*x=(6.11/12.43)*x       - we multiply both sides of the equation by x
100=0.49155269509252*x       - we divide both sides of the equation by (0.49155269509252) to get x
100/0.49155269509252=x
203.43698854337=x
x=203.43698854337

now we have:
12.43 is 203.43698854337% of 6.11