66.6 is what percent of 69.9 - 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 69.9 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 69.9, so we can write it down as 100%=69.9.
4. We know, that x% equals 66.6 of the output value, so we can write it down as x%=66.6.
5. Now we have two simple equations:
1) 100%=69.9
2) x%=66.6
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%=69.9/66.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66.6 is what percent of 69.9

100%/x%=69.9/66.6
(100/x)*x=(69.9/66.6)*x       - we multiply both sides of the equation by x
100=1.0495495495495*x       - we divide both sides of the equation by (1.0495495495495) to get x
100/1.0495495495495=x
95.278969957082=x
x=95.278969957082

now we have:
66.6 is 95.278969957082% of 69.9