10.49 is what percent of 15.85 - 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 15.85 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 15.85, so we can write it down as 100%=15.85.
4. We know, that x% equals 10.49 of the output value, so we can write it down as x%=10.49.
5. Now we have two simple equations:
1) 100%=15.85
2) x%=10.49
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%=15.85/10.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.49 is what percent of 15.85

100%/x%=15.85/10.49
(100/x)*x=(15.85/10.49)*x       - we multiply both sides of the equation by x
100=1.510962821735*x       - we divide both sides of the equation by (1.510962821735) to get x
100/1.510962821735=x
66.182965299685=x
x=66.182965299685

now we have:
10.49 is 66.182965299685% of 15.85