49.85 is what percent of 3589 - 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 3589 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 3589, so we can write it down as 100%=3589.
4. We know, that x% equals 49.85 of the output value, so we can write it down as x%=49.85.
5. Now we have two simple equations:
1) 100%=3589
2) x%=49.85
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%=3589/49.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.85 is what percent of 3589

100%/x%=3589/49.85
(100/x)*x=(3589/49.85)*x       - we multiply both sides of the equation by x
100=71.995987963892*x       - we divide both sides of the equation by (71.995987963892) to get x
100/71.995987963892=x
1.3889662858735=x
x=1.3889662858735

now we have:
49.85 is 1.3889662858735% of 3589