6 is what percent of 97500 - 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 97500 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 97500, so we can write it down as 100%=97500.
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%=97500
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%=97500/6
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 97500

100%/x%=97500/6
(100/x)*x=(97500/6)*x       - we multiply both sides of the equation by x
100=16250*x       - we divide both sides of the equation by (16250) to get x
100/16250=x
0.0061538461538462=x
x=0.0061538461538462

now we have:
6 is 0.0061538461538462% of 97500