666.45 is what percent of 3330.25 - 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 3330.25 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 3330.25, so we can write it down as 100%=3330.25.
4. We know, that x% equals 666.45 of the output value, so we can write it down as x%=666.45.
5. Now we have two simple equations:
1) 100%=3330.25
2) x%=666.45
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%=3330.25/666.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 666.45 is what percent of 3330.25

100%/x%=3330.25/666.45
(100/x)*x=(3330.25/666.45)*x       - we multiply both sides of the equation by x
100=4.996999024683*x       - we divide both sides of the equation by (4.996999024683) to get x
100/4.996999024683=x
20.012011110277=x
x=20.012011110277

now we have:
666.45 is 20.012011110277% of 3330.25