5.88 is what percent of 48.64 - 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 48.64 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 48.64, so we can write it down as 100%=48.64.
4. We know, that x% equals 5.88 of the output value, so we can write it down as x%=5.88.
5. Now we have two simple equations:
1) 100%=48.64
2) x%=5.88
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%=48.64/5.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.88 is what percent of 48.64

100%/x%=48.64/5.88
(100/x)*x=(48.64/5.88)*x       - we multiply both sides of the equation by x
100=8.2721088435374*x       - we divide both sides of the equation by (8.2721088435374) to get x
100/8.2721088435374=x
12.088815789474=x
x=12.088815789474

now we have:
5.88 is 12.088815789474% of 48.64