42.82 is what percent of 343.42 - 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 343.42 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 343.42, so we can write it down as 100%=343.42.
4. We know, that x% equals 42.82 of the output value, so we can write it down as x%=42.82.
5. Now we have two simple equations:
1) 100%=343.42
2) x%=42.82
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%=343.42/42.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.82 is what percent of 343.42

100%/x%=343.42/42.82
(100/x)*x=(343.42/42.82)*x       - we multiply both sides of the equation by x
100=8.0200840728631*x       - we divide both sides of the equation by (8.0200840728631) to get x
100/8.0200840728631=x
12.46869722206=x
x=12.46869722206

now we have:
42.82 is 12.46869722206% of 343.42