42.4 is what percent of 223.1 - 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 223.1 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 223.1, so we can write it down as 100%=223.1.
4. We know, that x% equals 42.4 of the output value, so we can write it down as x%=42.4.
5. Now we have two simple equations:
1) 100%=223.1
2) x%=42.4
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%=223.1/42.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.4 is what percent of 223.1

100%/x%=223.1/42.4
(100/x)*x=(223.1/42.4)*x       - we multiply both sides of the equation by x
100=5.2617924528302*x       - we divide both sides of the equation by (5.2617924528302) to get x
100/5.2617924528302=x
19.004930524429=x
x=19.004930524429

now we have:
42.4 is 19.004930524429% of 223.1