6 is what percent of 8900 - 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 8900 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 8900, so we can write it down as 100%=8900.
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%=8900
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%=8900/6
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 8900

100%/x%=8900/6
(100/x)*x=(8900/6)*x       - we multiply both sides of the equation by x
100=1483.3333333333*x       - we divide both sides of the equation by (1483.3333333333) to get x
100/1483.3333333333=x
0.067415730337079=x
x=0.067415730337079

now we have:
6 is 0.067415730337079% of 8900