1.63 is what percent of 3.92 - 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 3.92 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 3.92, so we can write it down as 100%=3.92.
4. We know, that x% equals 1.63 of the output value, so we can write it down as x%=1.63.
5. Now we have two simple equations:
1) 100%=3.92
2) x%=1.63
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%=3.92/1.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.63 is what percent of 3.92

100%/x%=3.92/1.63
(100/x)*x=(3.92/1.63)*x       - we multiply both sides of the equation by x
100=2.4049079754601*x       - we divide both sides of the equation by (2.4049079754601) to get x
100/2.4049079754601=x
41.581632653061=x
x=41.581632653061

now we have:
1.63 is 41.581632653061% of 3.92