15.85 is what percent of 7.85 - 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 7.85 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 7.85, so we can write it down as 100%=7.85.
4. We know, that x% equals 15.85 of the output value, so we can write it down as x%=15.85.
5. Now we have two simple equations:
1) 100%=7.85
2) x%=15.85
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%=7.85/15.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.85 is what percent of 7.85

100%/x%=7.85/15.85
(100/x)*x=(7.85/15.85)*x       - we multiply both sides of the equation by x
100=0.49526813880126*x       - we divide both sides of the equation by (0.49526813880126) to get x
100/0.49526813880126=x
201.91082802548=x
x=201.91082802548

now we have:
15.85 is 201.91082802548% of 7.85