16.99 is what percent of 8.52 - 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 8.52 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 8.52, so we can write it down as 100%=8.52.
4. We know, that x% equals 16.99 of the output value, so we can write it down as x%=16.99.
5. Now we have two simple equations:
1) 100%=8.52
2) x%=16.99
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%=8.52/16.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.99 is what percent of 8.52

100%/x%=8.52/16.99
(100/x)*x=(8.52/16.99)*x       - we multiply both sides of the equation by x
100=0.50147145379635*x       - we divide both sides of the equation by (0.50147145379635) to get x
100/0.50147145379635=x
199.41314553991=x
x=199.41314553991

now we have:
16.99 is 199.41314553991% of 8.52