5 is what percent of 9.975 - 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 9.975 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 9.975, so we can write it down as 100%=9.975.
4. We know, that x% equals 5 of the output value, so we can write it down as x%=5.
5. Now we have two simple equations:
1) 100%=9.975
2) x%=5
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%=9.975/5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5 is what percent of 9.975

100%/x%=9.975/5
(100/x)*x=(9.975/5)*x       - we multiply both sides of the equation by x
100=1.995*x       - we divide both sides of the equation by (1.995) to get x
100/1.995=x
50.125313283208=x
x=50.125313283208

now we have:
5 is 50.125313283208% of 9.975