203.55 is what percent of 737.5 - 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 737.5 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 737.5, so we can write it down as 100%=737.5.
4. We know, that x% equals 203.55 of the output value, so we can write it down as x%=203.55.
5. Now we have two simple equations:
1) 100%=737.5
2) x%=203.55
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%=737.5/203.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 203.55 is what percent of 737.5

100%/x%=737.5/203.55
(100/x)*x=(737.5/203.55)*x       - we multiply both sides of the equation by x
100=3.6231884057971*x       - we divide both sides of the equation by (3.6231884057971) to get x
100/3.6231884057971=x
27.6=x
x=27.6

now we have:
203.55 is 27.6% of 737.5