42.4 is what percent of 34.7 - 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 34.7 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 34.7, so we can write it down as 100%=34.7.
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%=34.7
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%=34.7/42.4
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 34.7

100%/x%=34.7/42.4
(100/x)*x=(34.7/42.4)*x       - we multiply both sides of the equation by x
100=0.81839622641509*x       - we divide both sides of the equation by (0.81839622641509) to get x
100/0.81839622641509=x
122.19020172911=x
x=122.19020172911

now we have:
42.4 is 122.19020172911% of 34.7