159.75 is what percent of 985.64 - 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 985.64 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 985.64, so we can write it down as 100%=985.64.
4. We know, that x% equals 159.75 of the output value, so we can write it down as x%=159.75.
5. Now we have two simple equations:
1) 100%=985.64
2) x%=159.75
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%=985.64/159.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 159.75 is what percent of 985.64

100%/x%=985.64/159.75
(100/x)*x=(985.64/159.75)*x       - we multiply both sides of the equation by x
100=6.1698904538341*x       - we divide both sides of the equation by (6.1698904538341) to get x
100/6.1698904538341=x
16.207743192241=x
x=16.207743192241

now we have:
159.75 is 16.207743192241% of 985.64