4.88 is what percent of 77.14 - 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 77.14 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 77.14, so we can write it down as 100%=77.14.
4. We know, that x% equals 4.88 of the output value, so we can write it down as x%=4.88.
5. Now we have two simple equations:
1) 100%=77.14
2) x%=4.88
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%=77.14/4.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.88 is what percent of 77.14

100%/x%=77.14/4.88
(100/x)*x=(77.14/4.88)*x       - we multiply both sides of the equation by x
100=15.80737704918*x       - we divide both sides of the equation by (15.80737704918) to get x
100/15.80737704918=x
6.3261602281566=x
x=6.3261602281566

now we have:
4.88 is 6.3261602281566% of 77.14