80.8 is what percent of 1163 - 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 1163 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 1163, so we can write it down as 100%=1163.
4. We know, that x% equals 80.8 of the output value, so we can write it down as x%=80.8.
5. Now we have two simple equations:
1) 100%=1163
2) x%=80.8
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%=1163/80.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 80.8 is what percent of 1163

100%/x%=1163/80.8
(100/x)*x=(1163/80.8)*x       - we multiply both sides of the equation by x
100=14.393564356436*x       - we divide both sides of the equation by (14.393564356436) to get x
100/14.393564356436=x
6.9475494411006=x
x=6.9475494411006

now we have:
80.8 is 6.9475494411006% of 1163