48.6 is what percent of 688.1 - 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 688.1 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 688.1, so we can write it down as 100%=688.1.
4. We know, that x% equals 48.6 of the output value, so we can write it down as x%=48.6.
5. Now we have two simple equations:
1) 100%=688.1
2) x%=48.6
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%=688.1/48.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.6 is what percent of 688.1

100%/x%=688.1/48.6
(100/x)*x=(688.1/48.6)*x       - we multiply both sides of the equation by x
100=14.158436213992*x       - we divide both sides of the equation by (14.158436213992) to get x
100/14.158436213992=x
7.0629269001599=x
x=7.0629269001599

now we have:
48.6 is 7.0629269001599% of 688.1