28.42 is what percent of 343.63 - 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 343.63 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 343.63, so we can write it down as 100%=343.63.
4. We know, that x% equals 28.42 of the output value, so we can write it down as x%=28.42.
5. Now we have two simple equations:
1) 100%=343.63
2) x%=28.42
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%=343.63/28.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.42 is what percent of 343.63

100%/x%=343.63/28.42
(100/x)*x=(343.63/28.42)*x       - we multiply both sides of the equation by x
100=12.091133004926*x       - we divide both sides of the equation by (12.091133004926) to get x
100/12.091133004926=x
8.2705235282135=x
x=8.2705235282135

now we have:
28.42 is 8.2705235282135% of 343.63