6.32 is what percent of 18.42 - 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 18.42 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 18.42, so we can write it down as 100%=18.42.
4. We know, that x% equals 6.32 of the output value, so we can write it down as x%=6.32.
5. Now we have two simple equations:
1) 100%=18.42
2) x%=6.32
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%=18.42/6.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.32 is what percent of 18.42

100%/x%=18.42/6.32
(100/x)*x=(18.42/6.32)*x       - we multiply both sides of the equation by x
100=2.9145569620253*x       - we divide both sides of the equation by (2.9145569620253) to get x
100/2.9145569620253=x
34.310532030402=x
x=34.310532030402

now we have:
6.32 is 34.310532030402% of 18.42