60 is what percent of 7734 - 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 7734 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 7734, so we can write it down as 100%=7734.
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%=7734
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%=7734/60
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 7734

100%/x%=7734/60
(100/x)*x=(7734/60)*x       - we multiply both sides of the equation by x
100=128.9*x       - we divide both sides of the equation by (128.9) to get x
100/128.9=x
0.77579519006982=x
x=0.77579519006982

now we have:
60 is 0.77579519006982% of 7734