60.35 is what percent of 77 - 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 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, so we can write it down as 100%=77.
4. We know, that x% equals 60.35 of the output value, so we can write it down as x%=60.35.
5. Now we have two simple equations:
1) 100%=77
2) x%=60.35
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%=77/60.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 60.35 is what percent of 77

100%/x%=77/60.35
(100/x)*x=(77/60.35)*x       - we multiply both sides of the equation by x
100=1.2758906379453*x       - we divide both sides of the equation by (1.2758906379453) to get x
100/1.2758906379453=x
78.376623376623=x
x=78.376623376623

now we have:
60.35 is 78.376623376623% of 77