16.1 is what percent of 1.6 - 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 1.6 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 1.6, so we can write it down as 100%=1.6.
4. We know, that x% equals 16.1 of the output value, so we can write it down as x%=16.1.
5. Now we have two simple equations:
1) 100%=1.6
2) x%=16.1
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%=1.6/16.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.1 is what percent of 1.6

100%/x%=1.6/16.1
(100/x)*x=(1.6/16.1)*x       - we multiply both sides of the equation by x
100=0.099378881987578*x       - we divide both sides of the equation by (0.099378881987578) to get x
100/0.099378881987578=x
1006.25=x
x=1006.25

now we have:
16.1 is 1006.25% of 1.6