2.97 is what percent of 38.05 - 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 38.05 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 38.05, so we can write it down as 100%=38.05.
4. We know, that x% equals 2.97 of the output value, so we can write it down as x%=2.97.
5. Now we have two simple equations:
1) 100%=38.05
2) x%=2.97
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%=38.05/2.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.97 is what percent of 38.05

100%/x%=38.05/2.97
(100/x)*x=(38.05/2.97)*x       - we multiply both sides of the equation by x
100=12.811447811448*x       - we divide both sides of the equation by (12.811447811448) to get x
100/12.811447811448=x
7.8055190538765=x
x=7.8055190538765

now we have:
2.97 is 7.8055190538765% of 38.05