6.69 is what percent of 17.43 - 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 17.43 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 17.43, so we can write it down as 100%=17.43.
4. We know, that x% equals 6.69 of the output value, so we can write it down as x%=6.69.
5. Now we have two simple equations:
1) 100%=17.43
2) x%=6.69
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%=17.43/6.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.69 is what percent of 17.43

100%/x%=17.43/6.69
(100/x)*x=(17.43/6.69)*x       - we multiply both sides of the equation by x
100=2.6053811659193*x       - we divide both sides of the equation by (2.6053811659193) to get x
100/2.6053811659193=x
38.382099827883=x
x=38.382099827883

now we have:
6.69 is 38.382099827883% of 17.43