1.97 is what percent of 38 - 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 38 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 38, so we can write it down as 100%=38.
4. We know, that x% equals 1.97 of the output value, so we can write it down as x%=1.97.
5. Now we have two simple equations:
1) 100%=38
2) x%=1.97
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%=38/1.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.97 is what percent of 38

100%/x%=38/1.97
(100/x)*x=(38/1.97)*x       - we multiply both sides of the equation by x
100=19.289340101523*x       - we divide both sides of the equation by (19.289340101523) to get x
100/19.289340101523=x
5.1842105263158=x
x=5.1842105263158

now we have:
1.97 is 5.1842105263158% of 38