13.3 is what percent of 28.3 - 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 28.3 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 28.3, so we can write it down as 100%=28.3.
4. We know, that x% equals 13.3 of the output value, so we can write it down as x%=13.3.
5. Now we have two simple equations:
1) 100%=28.3
2) x%=13.3
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%=28.3/13.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.3 is what percent of 28.3

100%/x%=28.3/13.3
(100/x)*x=(28.3/13.3)*x       - we multiply both sides of the equation by x
100=2.1278195488722*x       - we divide both sides of the equation by (2.1278195488722) to get x
100/2.1278195488722=x
46.996466431095=x
x=46.996466431095

now we have:
13.3 is 46.996466431095% of 28.3