38 is what percent of 1656 - 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 1656 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 1656, so we can write it down as 100%=1656.
4. We know, that x% equals 38 of the output value, so we can write it down as x%=38.
5. Now we have two simple equations:
1) 100%=1656
2) x%=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%=1656/38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38 is what percent of 1656

100%/x%=1656/38
(100/x)*x=(1656/38)*x       - we multiply both sides of the equation by x
100=43.578947368421*x       - we divide both sides of the equation by (43.578947368421) to get x
100/43.578947368421=x
2.2946859903382=x
x=2.2946859903382

now we have:
38 is 2.2946859903382% of 1656