5.2 is what percent of 14.6 - 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 14.6 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 14.6, so we can write it down as 100%=14.6.
4. We know, that x% equals 5.2 of the output value, so we can write it down as x%=5.2.
5. Now we have two simple equations:
1) 100%=14.6
2) x%=5.2
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%=14.6/5.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.2 is what percent of 14.6

100%/x%=14.6/5.2
(100/x)*x=(14.6/5.2)*x       - we multiply both sides of the equation by x
100=2.8076923076923*x       - we divide both sides of the equation by (2.8076923076923) to get x
100/2.8076923076923=x
35.616438356164=x
x=35.616438356164

now we have:
5.2 is 35.616438356164% of 14.6