13.5 is what percent of 203.3 - 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 203.3 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 203.3, so we can write it down as 100%=203.3.
4. We know, that x% equals 13.5 of the output value, so we can write it down as x%=13.5.
5. Now we have two simple equations:
1) 100%=203.3
2) x%=13.5
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%=203.3/13.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.5 is what percent of 203.3

100%/x%=203.3/13.5
(100/x)*x=(203.3/13.5)*x       - we multiply both sides of the equation by x
100=15.059259259259*x       - we divide both sides of the equation by (15.059259259259) to get x
100/15.059259259259=x
6.6404328578455=x
x=6.6404328578455

now we have:
13.5 is 6.6404328578455% of 203.3