6 is what percent of 35510 - 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 35510 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 35510, so we can write it down as 100%=35510.
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%=35510
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%=35510/6
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 35510

100%/x%=35510/6
(100/x)*x=(35510/6)*x       - we multiply both sides of the equation by x
100=5918.3333333333*x       - we divide both sides of the equation by (5918.3333333333) to get x
100/5918.3333333333=x
0.016896648831315=x
x=0.016896648831315

now we have:
6 is 0.016896648831315% of 35510