202.34 is what percent of 448.7 - 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 448.7 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 448.7, so we can write it down as 100%=448.7.
4. We know, that x% equals 202.34 of the output value, so we can write it down as x%=202.34.
5. Now we have two simple equations:
1) 100%=448.7
2) x%=202.34
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%=448.7/202.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 202.34 is what percent of 448.7

100%/x%=448.7/202.34
(100/x)*x=(448.7/202.34)*x       - we multiply both sides of the equation by x
100=2.2175546110507*x       - we divide both sides of the equation by (2.2175546110507) to get x
100/2.2175546110507=x
45.094718074437=x
x=45.094718074437

now we have:
202.34 is 45.094718074437% of 448.7