41.21 is what percent of 686.8 - 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 686.8 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 686.8, so we can write it down as 100%=686.8.
4. We know, that x% equals 41.21 of the output value, so we can write it down as x%=41.21.
5. Now we have two simple equations:
1) 100%=686.8
2) x%=41.21
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%=686.8/41.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.21 is what percent of 686.8

100%/x%=686.8/41.21
(100/x)*x=(686.8/41.21)*x       - we multiply both sides of the equation by x
100=16.665857801504*x       - we divide both sides of the equation by (16.665857801504) to get x
100/16.665857801504=x
6.0002912055911=x
x=6.0002912055911

now we have:
41.21 is 6.0002912055911% of 686.8