What is 660 percent of 1.011 - 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 1.011 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 1.011 is 100%, so we can write it down as 1.011=100%.
4. We know, that x is 660% of the output value, so we can write it down as x=660%.
5. Now we have two simple equations:
1) 1.011=100%
2) x=660%
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:
1.011/x=100%/660%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 660% of 1.011

1.011/x=100/660
(1.011/x)*x=(100/660)*x       - we multiply both sides of the equation by x
1.011=0.15151515151515*x       - we divide both sides of the equation by (0.15151515151515) to get x
1.011/0.15151515151515=x
6.6726=x
x=6.6726

now we have:
660% of 1.011=6.6726