77.5 is what percent of 600 - 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 600 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 600, so we can write it down as 100%=600.
4. We know, that x% equals 77.5 of the output value, so we can write it down as x%=77.5.
5. Now we have two simple equations:
1) 100%=600
2) x%=77.5
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%=600/77.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77.5 is what percent of 600

100%/x%=600/77.5
(100/x)*x=(600/77.5)*x       - we multiply both sides of the equation by x
100=7.741935483871*x       - we divide both sides of the equation by (7.741935483871) to get x
100/7.741935483871=x
12.916666666667=x
x=12.916666666667

now we have:
77.5 is 12.916666666667% of 600