4.67 is what percent of 162.83 - 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 162.83 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 162.83, so we can write it down as 100%=162.83.
4. We know, that x% equals 4.67 of the output value, so we can write it down as x%=4.67.
5. Now we have two simple equations:
1) 100%=162.83
2) x%=4.67
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%=162.83/4.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.67 is what percent of 162.83

100%/x%=162.83/4.67
(100/x)*x=(162.83/4.67)*x       - we multiply both sides of the equation by x
100=34.867237687366*x       - we divide both sides of the equation by (34.867237687366) to get x
100/34.867237687366=x
2.868021863293=x
x=2.868021863293

now we have:
4.67 is 2.868021863293% of 162.83