82.9 is what percent of 159 - 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 159 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 159, so we can write it down as 100%=159.
4. We know, that x% equals 82.9 of the output value, so we can write it down as x%=82.9.
5. Now we have two simple equations:
1) 100%=159
2) x%=82.9
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%=159/82.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 82.9 is what percent of 159

100%/x%=159/82.9
(100/x)*x=(159/82.9)*x       - we multiply both sides of the equation by x
100=1.9179734620024*x       - we divide both sides of the equation by (1.9179734620024) to get x
100/1.9179734620024=x
52.138364779874=x
x=52.138364779874

now we have:
82.9 is 52.138364779874% of 159