60 is what percent of 305.845 - 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 305.845 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 305.845, so we can write it down as 100%=305.845.
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%=305.845
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%=305.845/60
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 305.845

100%/x%=305.845/60
(100/x)*x=(305.845/60)*x       - we multiply both sides of the equation by x
100=5.0974166666667*x       - we divide both sides of the equation by (5.0974166666667) to get x
100/5.0974166666667=x
19.617780248165=x
x=19.617780248165

now we have:
60 is 19.617780248165% of 305.845