48.8 is what percent of 688.8 - 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 688.8 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 688.8, so we can write it down as 100%=688.8.
4. We know, that x% equals 48.8 of the output value, so we can write it down as x%=48.8.
5. Now we have two simple equations:
1) 100%=688.8
2) x%=48.8
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%=688.8/48.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.8 is what percent of 688.8

100%/x%=688.8/48.8
(100/x)*x=(688.8/48.8)*x       - we multiply both sides of the equation by x
100=14.114754098361*x       - we divide both sides of the equation by (14.114754098361) to get x
100/14.114754098361=x
7.0847851335656=x
x=7.0847851335656

now we have:
48.8 is 7.0847851335656% of 688.8