16.5 is what percent of 7.848 - 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 7.848 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 7.848, so we can write it down as 100%=7.848.
4. We know, that x% equals 16.5 of the output value, so we can write it down as x%=16.5.
5. Now we have two simple equations:
1) 100%=7.848
2) x%=16.5
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%=7.848/16.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.5 is what percent of 7.848

100%/x%=7.848/16.5
(100/x)*x=(7.848/16.5)*x       - we multiply both sides of the equation by x
100=0.47563636363636*x       - we divide both sides of the equation by (0.47563636363636) to get x
100/0.47563636363636=x
210.24464831804=x
x=210.24464831804

now we have:
16.5 is 210.24464831804% of 7.848