82.3 is what percent of 11.25 - 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 11.25 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 11.25, so we can write it down as 100%=11.25.
4. We know, that x% equals 82.3 of the output value, so we can write it down as x%=82.3.
5. Now we have two simple equations:
1) 100%=11.25
2) x%=82.3
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%=11.25/82.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 82.3 is what percent of 11.25

100%/x%=11.25/82.3
(100/x)*x=(11.25/82.3)*x       - we multiply both sides of the equation by x
100=0.136695018226*x       - we divide both sides of the equation by (0.136695018226) to get x
100/0.136695018226=x
731.55555555556=x
x=731.55555555556

now we have:
82.3 is 731.55555555556% of 11.25