1589.86 is what percent of 3296 - 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 3296 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 3296, so we can write it down as 100%=3296.
4. We know, that x% equals 1589.86 of the output value, so we can write it down as x%=1589.86.
5. Now we have two simple equations:
1) 100%=3296
2) x%=1589.86
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%=3296/1589.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1589.86 is what percent of 3296

100%/x%=3296/1589.86
(100/x)*x=(3296/1589.86)*x       - we multiply both sides of the equation by x
100=2.073138515341*x       - we divide both sides of the equation by (2.073138515341) to get x
100/2.073138515341=x
48.23604368932=x
x=48.23604368932

now we have:
1589.86 is 48.23604368932% of 3296