291.85 is what percent of 1600 - 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 1600 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 1600, so we can write it down as 100%=1600.
4. We know, that x% equals 291.85 of the output value, so we can write it down as x%=291.85.
5. Now we have two simple equations:
1) 100%=1600
2) x%=291.85
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%=1600/291.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 291.85 is what percent of 1600

100%/x%=1600/291.85
(100/x)*x=(1600/291.85)*x       - we multiply both sides of the equation by x
100=5.4822682885044*x       - we divide both sides of the equation by (5.4822682885044) to get x
100/5.4822682885044=x
18.240625=x
x=18.240625

now we have:
291.85 is 18.240625% of 1600