169.75 is what percent of 4022.13 - 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 4022.13 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 4022.13, so we can write it down as 100%=4022.13.
4. We know, that x% equals 169.75 of the output value, so we can write it down as x%=169.75.
5. Now we have two simple equations:
1) 100%=4022.13
2) x%=169.75
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%=4022.13/169.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 169.75 is what percent of 4022.13

100%/x%=4022.13/169.75
(100/x)*x=(4022.13/169.75)*x       - we multiply both sides of the equation by x
100=23.694432989691*x       - we divide both sides of the equation by (23.694432989691) to get x
100/23.694432989691=x
4.2204006334952=x
x=4.2204006334952

now we have:
169.75 is 4.2204006334952% of 4022.13