2990.8 is what percent of 11518.5 - 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 11518.5 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 11518.5, so we can write it down as 100%=11518.5.
4. We know, that x% equals 2990.8 of the output value, so we can write it down as x%=2990.8.
5. Now we have two simple equations:
1) 100%=11518.5
2) x%=2990.8
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%=11518.5/2990.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2990.8 is what percent of 11518.5

100%/x%=11518.5/2990.8
(100/x)*x=(11518.5/2990.8)*x       - we multiply both sides of the equation by x
100=3.8513106861041*x       - we divide both sides of the equation by (3.8513106861041) to get x
100/3.8513106861041=x
25.965186439206=x
x=25.965186439206

now we have:
2990.8 is 25.965186439206% of 11518.5