1600.99 is what percent of 16700 - 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 16700 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 16700, so we can write it down as 100%=16700.
4. We know, that x% equals 1600.99 of the output value, so we can write it down as x%=1600.99.
5. Now we have two simple equations:
1) 100%=16700
2) x%=1600.99
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%=16700/1600.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1600.99 is what percent of 16700

100%/x%=16700/1600.99
(100/x)*x=(16700/1600.99)*x       - we multiply both sides of the equation by x
100=10.431045790417*x       - we divide both sides of the equation by (10.431045790417) to get x
100/10.431045790417=x
9.5867664670659=x
x=9.5867664670659

now we have:
1600.99 is 9.5867664670659% of 16700