6 is what percent of 40803 - 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 40803 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 40803, so we can write it down as 100%=40803.
4. We know, that x% equals 6 of the output value, so we can write it down as x%=6.
5. Now we have two simple equations:
1) 100%=40803
2) x%=6
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%=40803/6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6 is what percent of 40803

100%/x%=40803/6
(100/x)*x=(40803/6)*x       - we multiply both sides of the equation by x
100=6800.5*x       - we divide both sides of the equation by (6800.5) to get x
100/6800.5=x
0.014704801117565=x
x=0.014704801117565

now we have:
6 is 0.014704801117565% of 40803