342 is what percent of 14336 - 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 14336 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 14336, so we can write it down as 100%=14336.
4. We know, that x% equals 342 of the output value, so we can write it down as x%=342.
5. Now we have two simple equations:
1) 100%=14336
2) x%=342
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%=14336/342
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 342 is what percent of 14336

100%/x%=14336/342
(100/x)*x=(14336/342)*x       - we multiply both sides of the equation by x
100=41.918128654971*x       - we divide both sides of the equation by (41.918128654971) to get x
100/41.918128654971=x
2.3856026785714=x
x=2.3856026785714

now we have:
342 is 2.3856026785714% of 14336