65 is what percent of 10716 - 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 10716 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 10716, so we can write it down as 100%=10716.
4. We know, that x% equals 65 of the output value, so we can write it down as x%=65.
5. Now we have two simple equations:
1) 100%=10716
2) x%=65
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%=10716/65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65 is what percent of 10716

100%/x%=10716/65
(100/x)*x=(10716/65)*x       - we multiply both sides of the equation by x
100=164.86153846154*x       - we divide both sides of the equation by (164.86153846154) to get x
100/164.86153846154=x
0.60656961552818=x
x=0.60656961552818

now we have:
65 is 0.60656961552818% of 10716