16.6 is what percent of 69.7 - 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 69.7 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 69.7, so we can write it down as 100%=69.7.
4. We know, that x% equals 16.6 of the output value, so we can write it down as x%=16.6.
5. Now we have two simple equations:
1) 100%=69.7
2) x%=16.6
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%=69.7/16.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.6 is what percent of 69.7

100%/x%=69.7/16.6
(100/x)*x=(69.7/16.6)*x       - we multiply both sides of the equation by x
100=4.1987951807229*x       - we divide both sides of the equation by (4.1987951807229) to get x
100/4.1987951807229=x
23.816355810617=x
x=23.816355810617

now we have:
16.6 is 23.816355810617% of 69.7