16835.55 is what percent of 35042.37 - 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 35042.37 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 35042.37, so we can write it down as 100%=35042.37.
4. We know, that x% equals 16835.55 of the output value, so we can write it down as x%=16835.55.
5. Now we have two simple equations:
1) 100%=35042.37
2) x%=16835.55
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%=35042.37/16835.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16835.55 is what percent of 35042.37

100%/x%=35042.37/16835.55
(100/x)*x=(35042.37/16835.55)*x       - we multiply both sides of the equation by x
100=2.0814508584513*x       - we divide both sides of the equation by (2.0814508584513) to get x
100/2.0814508584513=x
48.043411447342=x
x=48.043411447342

now we have:
16835.55 is 48.043411447342% of 35042.37