99.3 is what percent of 1.103 - 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 1.103 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 1.103, so we can write it down as 100%=1.103.
4. We know, that x% equals 99.3 of the output value, so we can write it down as x%=99.3.
5. Now we have two simple equations:
1) 100%=1.103
2) x%=99.3
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%=1.103/99.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 99.3 is what percent of 1.103

100%/x%=1.103/99.3
(100/x)*x=(1.103/99.3)*x       - we multiply both sides of the equation by x
100=0.01110775427996*x       - we divide both sides of the equation by (0.01110775427996) to get x
100/0.01110775427996=x
9002.7198549411=x
x=9002.7198549411

now we have:
99.3 is 9002.7198549411% of 1.103