96.72 is what percent of 1.648 - 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 1.648 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 1.648, so we can write it down as 100%=1.648.
4. We know, that x% equals 96.72 of the output value, so we can write it down as x%=96.72.
5. Now we have two simple equations:
1) 100%=1.648
2) x%=96.72
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%=1.648/96.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 96.72 is what percent of 1.648

100%/x%=1.648/96.72
(100/x)*x=(1.648/96.72)*x       - we multiply both sides of the equation by x
100=0.017038875103391*x       - we divide both sides of the equation by (0.017038875103391) to get x
100/0.017038875103391=x
5868.932038835=x
x=5868.932038835

now we have:
96.72 is 5868.932038835% of 1.648