19 is what percent of 19.96 - 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 19.96 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 19.96, so we can write it down as 100%=19.96.
4. We know, that x% equals 19 of the output value, so we can write it down as x%=19.
5. Now we have two simple equations:
1) 100%=19.96
2) x%=19
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%=19.96/19
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19 is what percent of 19.96

100%/x%=19.96/19
(100/x)*x=(19.96/19)*x       - we multiply both sides of the equation by x
100=1.0505263157895*x       - we divide both sides of the equation by (1.0505263157895) to get x
100/1.0505263157895=x
95.190380761523=x
x=95.190380761523

now we have:
19 is 95.190380761523% of 19.96