0.16 is what percent of 1.97 - 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 1.97 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 1.97, so we can write it down as 100%=1.97.
4. We know, that x% equals 0.16 of the output value, so we can write it down as x%=0.16.
5. Now we have two simple equations:
1) 100%=1.97
2) x%=0.16
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%=1.97/0.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.16 is what percent of 1.97

100%/x%=1.97/0.16
(100/x)*x=(1.97/0.16)*x       - we multiply both sides of the equation by x
100=12.3125*x       - we divide both sides of the equation by (12.3125) to get x
100/12.3125=x
8.1218274111675=x
x=8.1218274111675

now we have:
0.16 is 8.1218274111675% of 1.97