20 is what percent of 96.543 - 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 96.543 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 96.543, so we can write it down as 100%=96.543.
4. We know, that x% equals 20 of the output value, so we can write it down as x%=20.
5. Now we have two simple equations:
1) 100%=96.543
2) x%=20
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%=96.543/20
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20 is what percent of 96.543

100%/x%=96.543/20
(100/x)*x=(96.543/20)*x       - we multiply both sides of the equation by x
100=4.82715*x       - we divide both sides of the equation by (4.82715) to get x
100/4.82715=x
20.716157567094=x
x=20.716157567094

now we have:
20 is 20.716157567094% of 96.543