12.3 is what percent of 800.3 - 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 800.3 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 800.3, so we can write it down as 100%=800.3.
4. We know, that x% equals 12.3 of the output value, so we can write it down as x%=12.3.
5. Now we have two simple equations:
1) 100%=800.3
2) x%=12.3
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%=800.3/12.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.3 is what percent of 800.3

100%/x%=800.3/12.3
(100/x)*x=(800.3/12.3)*x       - we multiply both sides of the equation by x
100=65.065040650407*x       - we divide both sides of the equation by (65.065040650407) to get x
100/65.065040650407=x
1.5369236536299=x
x=1.5369236536299

now we have:
12.3 is 1.5369236536299% of 800.3