14.8 is what percent of 662.4 - 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 662.4 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 662.4, so we can write it down as 100%=662.4.
4. We know, that x% equals 14.8 of the output value, so we can write it down as x%=14.8.
5. Now we have two simple equations:
1) 100%=662.4
2) x%=14.8
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%=662.4/14.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.8 is what percent of 662.4

100%/x%=662.4/14.8
(100/x)*x=(662.4/14.8)*x       - we multiply both sides of the equation by x
100=44.756756756757*x       - we divide both sides of the equation by (44.756756756757) to get x
100/44.756756756757=x
2.2342995169082=x
x=2.2342995169082

now we have:
14.8 is 2.2342995169082% of 662.4