11.12 is what percent of 15.82 - 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 15.82 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 15.82, so we can write it down as 100%=15.82.
4. We know, that x% equals 11.12 of the output value, so we can write it down as x%=11.12.
5. Now we have two simple equations:
1) 100%=15.82
2) x%=11.12
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%=15.82/11.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.12 is what percent of 15.82

100%/x%=15.82/11.12
(100/x)*x=(15.82/11.12)*x       - we multiply both sides of the equation by x
100=1.4226618705036*x       - we divide both sides of the equation by (1.4226618705036) to get x
100/1.4226618705036=x
70.290771175727=x
x=70.290771175727

now we have:
11.12 is 70.290771175727% of 15.82