663.97 is what percent of 66397.29 - 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 66397.29 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 66397.29, so we can write it down as 100%=66397.29.
4. We know, that x% equals 663.97 of the output value, so we can write it down as x%=663.97.
5. Now we have two simple equations:
1) 100%=66397.29
2) x%=663.97
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%=66397.29/663.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 663.97 is what percent of 66397.29

100%/x%=66397.29/663.97
(100/x)*x=(66397.29/663.97)*x       - we multiply both sides of the equation by x
100=100.00043676672*x       - we divide both sides of the equation by (100.00043676672) to get x
100/100.00043676672=x
0.99999563235186=x
x=0.99999563235186

now we have:
663.97 is 0.99999563235186% of 66397.29