30.08 is what percent of 798.98 - 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 798.98 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 798.98, so we can write it down as 100%=798.98.
4. We know, that x% equals 30.08 of the output value, so we can write it down as x%=30.08.
5. Now we have two simple equations:
1) 100%=798.98
2) x%=30.08
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%=798.98/30.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.08 is what percent of 798.98

100%/x%=798.98/30.08
(100/x)*x=(798.98/30.08)*x       - we multiply both sides of the equation by x
100=26.561835106383*x       - we divide both sides of the equation by (26.561835106383) to get x
100/26.561835106383=x
3.7648001201532=x
x=3.7648001201532

now we have:
30.08 is 3.7648001201532% of 798.98