0.97 is what percent of 16.46 - 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 16.46 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 16.46, so we can write it down as 100%=16.46.
4. We know, that x% equals 0.97 of the output value, so we can write it down as x%=0.97.
5. Now we have two simple equations:
1) 100%=16.46
2) x%=0.97
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%=16.46/0.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.97 is what percent of 16.46

100%/x%=16.46/0.97
(100/x)*x=(16.46/0.97)*x       - we multiply both sides of the equation by x
100=16.969072164948*x       - we divide both sides of the equation by (16.969072164948) to get x
100/16.969072164948=x
5.8930741190765=x
x=5.8930741190765

now we have:
0.97 is 5.8930741190765% of 16.46