42.67 is what percent of 309 - 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 309 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 309, so we can write it down as 100%=309.
4. We know, that x% equals 42.67 of the output value, so we can write it down as x%=42.67.
5. Now we have two simple equations:
1) 100%=309
2) x%=42.67
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%=309/42.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.67 is what percent of 309

100%/x%=309/42.67
(100/x)*x=(309/42.67)*x       - we multiply both sides of the equation by x
100=7.2416217483009*x       - we divide both sides of the equation by (7.2416217483009) to get x
100/7.2416217483009=x
13.809061488673=x
x=13.809061488673

now we have:
42.67 is 13.809061488673% of 309