6.42 is what percent of 36.96 - 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 36.96 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 36.96, so we can write it down as 100%=36.96.
4. We know, that x% equals 6.42 of the output value, so we can write it down as x%=6.42.
5. Now we have two simple equations:
1) 100%=36.96
2) x%=6.42
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%=36.96/6.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.42 is what percent of 36.96

100%/x%=36.96/6.42
(100/x)*x=(36.96/6.42)*x       - we multiply both sides of the equation by x
100=5.7570093457944*x       - we divide both sides of the equation by (5.7570093457944) to get x
100/5.7570093457944=x
17.37012987013=x
x=17.37012987013

now we have:
6.42 is 17.37012987013% of 36.96