6 is what percent of 98800 - 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 98800 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 98800, so we can write it down as 100%=98800.
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%=98800
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%=98800/6
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 98800

100%/x%=98800/6
(100/x)*x=(98800/6)*x       - we multiply both sides of the equation by x
100=16466.666666667*x       - we divide both sides of the equation by (16466.666666667) to get x
100/16466.666666667=x
0.0060728744939271=x
x=0.0060728744939271

now we have:
6 is 0.0060728744939271% of 98800