59.67 is what percent of 660.85 - 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 660.85 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 660.85, so we can write it down as 100%=660.85.
4. We know, that x% equals 59.67 of the output value, so we can write it down as x%=59.67.
5. Now we have two simple equations:
1) 100%=660.85
2) x%=59.67
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%=660.85/59.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 59.67 is what percent of 660.85

100%/x%=660.85/59.67
(100/x)*x=(660.85/59.67)*x       - we multiply both sides of the equation by x
100=11.075079604491*x       - we divide both sides of the equation by (11.075079604491) to get x
100/11.075079604491=x
9.0292804721192=x
x=9.0292804721192

now we have:
59.67 is 9.0292804721192% of 660.85