1646.48 is what percent of 18816.48 - 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 18816.48 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 18816.48, so we can write it down as 100%=18816.48.
4. We know, that x% equals 1646.48 of the output value, so we can write it down as x%=1646.48.
5. Now we have two simple equations:
1) 100%=18816.48
2) x%=1646.48
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%=18816.48/1646.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1646.48 is what percent of 18816.48

100%/x%=18816.48/1646.48
(100/x)*x=(18816.48/1646.48)*x       - we multiply both sides of the equation by x
100=11.428307662407*x       - we divide both sides of the equation by (11.428307662407) to get x
100/11.428307662407=x
8.7502019506305=x
x=8.7502019506305

now we have:
1646.48 is 8.7502019506305% of 18816.48