1.995 is what percent of 5 - 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 5 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 5, so we can write it down as 100%=5.
4. We know, that x% equals 1.995 of the output value, so we can write it down as x%=1.995.
5. Now we have two simple equations:
1) 100%=5
2) x%=1.995
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%=5/1.995
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.995 is what percent of 5

100%/x%=5/1.995
(100/x)*x=(5/1.995)*x       - we multiply both sides of the equation by x
100=2.5062656641604*x       - we divide both sides of the equation by (2.5062656641604) to get x
100/2.5062656641604=x
39.9=x
x=39.9

now we have:
1.995 is 39.9% of 5