38.49 is what percent of 1972.62 - 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 1972.62 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 1972.62, so we can write it down as 100%=1972.62.
4. We know, that x% equals 38.49 of the output value, so we can write it down as x%=38.49.
5. Now we have two simple equations:
1) 100%=1972.62
2) x%=38.49
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%=1972.62/38.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.49 is what percent of 1972.62

100%/x%=1972.62/38.49
(100/x)*x=(1972.62/38.49)*x       - we multiply both sides of the equation by x
100=51.250194855807*x       - we divide both sides of the equation by (51.250194855807) to get x
100/51.250194855807=x
1.9512120935608=x
x=1.9512120935608

now we have:
38.49 is 1.9512120935608% of 1972.62