42.3 is what percent of 202.3 - 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 202.3 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 202.3, so we can write it down as 100%=202.3.
4. We know, that x% equals 42.3 of the output value, so we can write it down as x%=42.3.
5. Now we have two simple equations:
1) 100%=202.3
2) x%=42.3
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%=202.3/42.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.3 is what percent of 202.3

100%/x%=202.3/42.3
(100/x)*x=(202.3/42.3)*x       - we multiply both sides of the equation by x
100=4.7825059101655*x       - we divide both sides of the equation by (4.7825059101655) to get x
100/4.7825059101655=x
20.909540286703=x
x=20.909540286703

now we have:
42.3 is 20.909540286703% of 202.3