42.4 is what percent of 35.2 - 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 35.2 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 35.2, so we can write it down as 100%=35.2.
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%=35.2
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%=35.2/42.4
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 35.2

100%/x%=35.2/42.4
(100/x)*x=(35.2/42.4)*x       - we multiply both sides of the equation by x
100=0.83018867924528*x       - we divide both sides of the equation by (0.83018867924528) to get x
100/0.83018867924528=x
120.45454545455=x
x=120.45454545455

now we have:
42.4 is 120.45454545455% of 35.2