270.9 is what percent of 1600.5 - 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 1600.5 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 1600.5, so we can write it down as 100%=1600.5.
4. We know, that x% equals 270.9 of the output value, so we can write it down as x%=270.9.
5. Now we have two simple equations:
1) 100%=1600.5
2) x%=270.9
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%=1600.5/270.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 270.9 is what percent of 1600.5

100%/x%=1600.5/270.9
(100/x)*x=(1600.5/270.9)*x       - we multiply both sides of the equation by x
100=5.9080841638981*x       - we divide both sides of the equation by (5.9080841638981) to get x
100/5.9080841638981=x
16.925960637301=x
x=16.925960637301

now we have:
270.9 is 16.925960637301% of 1600.5