3.03 is what percent of 7.917 - 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 7.917 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 7.917, so we can write it down as 100%=7.917.
4. We know, that x% equals 3.03 of the output value, so we can write it down as x%=3.03.
5. Now we have two simple equations:
1) 100%=7.917
2) x%=3.03
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%=7.917/3.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.03 is what percent of 7.917

100%/x%=7.917/3.03
(100/x)*x=(7.917/3.03)*x       - we multiply both sides of the equation by x
100=2.6128712871287*x       - we divide both sides of the equation by (2.6128712871287) to get x
100/2.6128712871287=x
38.272072754831=x
x=38.272072754831

now we have:
3.03 is 38.272072754831% of 7.917