6946.67 is what percent of 16000 - 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 16000 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 16000, so we can write it down as 100%=16000.
4. We know, that x% equals 6946.67 of the output value, so we can write it down as x%=6946.67.
5. Now we have two simple equations:
1) 100%=16000
2) x%=6946.67
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%=16000/6946.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6946.67 is what percent of 16000

100%/x%=16000/6946.67
(100/x)*x=(16000/6946.67)*x       - we multiply both sides of the equation by x
100=2.3032618506421*x       - we divide both sides of the equation by (2.3032618506421) to get x
100/2.3032618506421=x
43.4166875=x
x=43.4166875

now we have:
6946.67 is 43.4166875% of 16000