659.99 is what percent of 1011 - 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 1011 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 1011, so we can write it down as 100%=1011.
4. We know, that x% equals 659.99 of the output value, so we can write it down as x%=659.99.
5. Now we have two simple equations:
1) 100%=1011
2) x%=659.99
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%=1011/659.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 659.99 is what percent of 1011

100%/x%=1011/659.99
(100/x)*x=(1011/659.99)*x       - we multiply both sides of the equation by x
100=1.5318413915362*x       - we divide both sides of the equation by (1.5318413915362) to get x
100/1.5318413915362=x
65.280909990109=x
x=65.280909990109

now we have:
659.99 is 65.280909990109% of 1011