60 is what percent of 4768 - 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 4768 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 4768, so we can write it down as 100%=4768.
4. We know, that x% equals 60 of the output value, so we can write it down as x%=60.
5. Now we have two simple equations:
1) 100%=4768
2) x%=60
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%=4768/60
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 60 is what percent of 4768

100%/x%=4768/60
(100/x)*x=(4768/60)*x       - we multiply both sides of the equation by x
100=79.466666666667*x       - we divide both sides of the equation by (79.466666666667) to get x
100/79.466666666667=x
1.258389261745=x
x=1.258389261745

now we have:
60 is 1.258389261745% of 4768