159.7 is what percent of 3083.2 - 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 3083.2 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 3083.2, so we can write it down as 100%=3083.2.
4. We know, that x% equals 159.7 of the output value, so we can write it down as x%=159.7.
5. Now we have two simple equations:
1) 100%=3083.2
2) x%=159.7
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%=3083.2/159.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 159.7 is what percent of 3083.2

100%/x%=3083.2/159.7
(100/x)*x=(3083.2/159.7)*x       - we multiply both sides of the equation by x
100=19.306199123356*x       - we divide both sides of the equation by (19.306199123356) to get x
100/19.306199123356=x
5.1796834457706=x
x=5.1796834457706

now we have:
159.7 is 5.1796834457706% of 3083.2