1.6 is what percent of 196.2 - 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 196.2 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 196.2, so we can write it down as 100%=196.2.
4. We know, that x% equals 1.6 of the output value, so we can write it down as x%=1.6.
5. Now we have two simple equations:
1) 100%=196.2
2) x%=1.6
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%=196.2/1.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.6 is what percent of 196.2

100%/x%=196.2/1.6
(100/x)*x=(196.2/1.6)*x       - we multiply both sides of the equation by x
100=122.625*x       - we divide both sides of the equation by (122.625) to get x
100/122.625=x
0.81549439347604=x
x=0.81549439347604

now we have:
1.6 is 0.81549439347604% of 196.2