159.83 is what percent of 9346.83 - 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 9346.83 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 9346.83, so we can write it down as 100%=9346.83.
4. We know, that x% equals 159.83 of the output value, so we can write it down as x%=159.83.
5. Now we have two simple equations:
1) 100%=9346.83
2) x%=159.83
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%=9346.83/159.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 159.83 is what percent of 9346.83

100%/x%=9346.83/159.83
(100/x)*x=(9346.83/159.83)*x       - we multiply both sides of the equation by x
100=58.479822311206*x       - we divide both sides of the equation by (58.479822311206) to get x
100/58.479822311206=x
1.7099915158401=x
x=1.7099915158401

now we have:
159.83 is 1.7099915158401% of 9346.83