83.19 is what percent of 164 - 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 164 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 164, so we can write it down as 100%=164.
4. We know, that x% equals 83.19 of the output value, so we can write it down as x%=83.19.
5. Now we have two simple equations:
1) 100%=164
2) x%=83.19
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%=164/83.19
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 83.19 is what percent of 164

100%/x%=164/83.19
(100/x)*x=(164/83.19)*x       - we multiply both sides of the equation by x
100=1.9713907921625*x       - we divide both sides of the equation by (1.9713907921625) to get x
100/1.9713907921625=x
50.725609756098=x
x=50.725609756098

now we have:
83.19 is 50.725609756098% of 164