290.85 is what percent of 3790.85 - 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 3790.85 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 3790.85, so we can write it down as 100%=3790.85.
4. We know, that x% equals 290.85 of the output value, so we can write it down as x%=290.85.
5. Now we have two simple equations:
1) 100%=3790.85
2) x%=290.85
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%=3790.85/290.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 290.85 is what percent of 3790.85

100%/x%=3790.85/290.85
(100/x)*x=(3790.85/290.85)*x       - we multiply both sides of the equation by x
100=13.033694344164*x       - we divide both sides of the equation by (13.033694344164) to get x
100/13.033694344164=x
7.6724217523774=x
x=7.6724217523774

now we have:
290.85 is 7.6724217523774% of 3790.85