488.12 is what percent of 669.66 - 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 669.66 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 669.66, so we can write it down as 100%=669.66.
4. We know, that x% equals 488.12 of the output value, so we can write it down as x%=488.12.
5. Now we have two simple equations:
1) 100%=669.66
2) x%=488.12
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%=669.66/488.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 488.12 is what percent of 669.66

100%/x%=669.66/488.12
(100/x)*x=(669.66/488.12)*x       - we multiply both sides of the equation by x
100=1.3719167417848*x       - we divide both sides of the equation by (1.3719167417848) to get x
100/1.3719167417848=x
72.890720664218=x
x=72.890720664218

now we have:
488.12 is 72.890720664218% of 669.66