103.3 is what percent of 10.303 - 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 10.303 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 10.303, so we can write it down as 100%=10.303.
4. We know, that x% equals 103.3 of the output value, so we can write it down as x%=103.3.
5. Now we have two simple equations:
1) 100%=10.303
2) x%=103.3
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%=10.303/103.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 103.3 is what percent of 10.303

100%/x%=10.303/103.3
(100/x)*x=(10.303/103.3)*x       - we multiply both sides of the equation by x
100=0.09973862536302*x       - we divide both sides of the equation by (0.09973862536302) to get x
100/0.09973862536302=x
1002.6205959429=x
x=1002.6205959429

now we have:
103.3 is 1002.6205959429% of 10.303