38.82 is what percent of 2.07 - 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 2.07 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 2.07, so we can write it down as 100%=2.07.
4. We know, that x% equals 38.82 of the output value, so we can write it down as x%=38.82.
5. Now we have two simple equations:
1) 100%=2.07
2) x%=38.82
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%=2.07/38.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.82 is what percent of 2.07

100%/x%=2.07/38.82
(100/x)*x=(2.07/38.82)*x       - we multiply both sides of the equation by x
100=0.053323029366306*x       - we divide both sides of the equation by (0.053323029366306) to get x
100/0.053323029366306=x
1875.3623188406=x
x=1875.3623188406

now we have:
38.82 is 1875.3623188406% of 2.07