165.38 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 165.38 of the output value, so we can write it down as x%=165.38.
5. Now we have two simple equations:
1) 100%=1600
2) x%=165.38
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%=1600/165.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 165.38 is what percent of 1600

100%/x%=1600/165.38
(100/x)*x=(1600/165.38)*x       - we multiply both sides of the equation by x
100=9.6746885959608*x       - we divide both sides of the equation by (9.6746885959608) to get x
100/9.6746885959608=x
10.33625=x
x=10.33625

now we have:
165.38 is 10.33625% of 1600