97.29 is what percent of 1605.15 - 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 1605.15 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 1605.15, so we can write it down as 100%=1605.15.
4. We know, that x% equals 97.29 of the output value, so we can write it down as x%=97.29.
5. Now we have two simple equations:
1) 100%=1605.15
2) x%=97.29
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%=1605.15/97.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 97.29 is what percent of 1605.15

100%/x%=1605.15/97.29
(100/x)*x=(1605.15/97.29)*x       - we multiply both sides of the equation by x
100=16.49861239593*x       - we divide both sides of the equation by (16.49861239593) to get x
100/16.49861239593=x
6.0611157835716=x
x=6.0611157835716

now we have:
97.29 is 6.0611157835716% of 1605.15