203.75 is what percent of 477.09 - 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 477.09 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 477.09, so we can write it down as 100%=477.09.
4. We know, that x% equals 203.75 of the output value, so we can write it down as x%=203.75.
5. Now we have two simple equations:
1) 100%=477.09
2) x%=203.75
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%=477.09/203.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 203.75 is what percent of 477.09

100%/x%=477.09/203.75
(100/x)*x=(477.09/203.75)*x       - we multiply both sides of the equation by x
100=2.3415460122699*x       - we divide both sides of the equation by (2.3415460122699) to get x
100/2.3415460122699=x
42.706826804167=x
x=42.706826804167

now we have:
203.75 is 42.706826804167% of 477.09