3.46 is what percent of 15.66 - 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 15.66 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 15.66, so we can write it down as 100%=15.66.
4. We know, that x% equals 3.46 of the output value, so we can write it down as x%=3.46.
5. Now we have two simple equations:
1) 100%=15.66
2) x%=3.46
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%=15.66/3.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.46 is what percent of 15.66

100%/x%=15.66/3.46
(100/x)*x=(15.66/3.46)*x       - we multiply both sides of the equation by x
100=4.5260115606936*x       - we divide both sides of the equation by (4.5260115606936) to get x
100/4.5260115606936=x
22.094508301405=x
x=22.094508301405

now we have:
3.46 is 22.094508301405% of 15.66