108.28 is what percent of 1011.67 - 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 1011.67 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 1011.67, so we can write it down as 100%=1011.67.
4. We know, that x% equals 108.28 of the output value, so we can write it down as x%=108.28.
5. Now we have two simple equations:
1) 100%=1011.67
2) x%=108.28
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%=1011.67/108.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 108.28 is what percent of 1011.67

100%/x%=1011.67/108.28
(100/x)*x=(1011.67/108.28)*x       - we multiply both sides of the equation by x
100=9.3430919837458*x       - we divide both sides of the equation by (9.3430919837458) to get x
100/9.3430919837458=x
10.703094882719=x
x=10.703094882719

now we have:
108.28 is 10.703094882719% of 1011.67