6.92 is what percent of 14.59 - 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 14.59 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 14.59, so we can write it down as 100%=14.59.
4. We know, that x% equals 6.92 of the output value, so we can write it down as x%=6.92.
5. Now we have two simple equations:
1) 100%=14.59
2) x%=6.92
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%=14.59/6.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.92 is what percent of 14.59

100%/x%=14.59/6.92
(100/x)*x=(14.59/6.92)*x       - we multiply both sides of the equation by x
100=2.1083815028902*x       - we divide both sides of the equation by (2.1083815028902) to get x
100/2.1083815028902=x
47.429746401645=x
x=47.429746401645

now we have:
6.92 is 47.429746401645% of 14.59