What is 60 percent of 1007.85 - 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 1007.85 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 1007.85 is 100%, so we can write it down as 1007.85=100%.
4. We know, that x is 60% of the output value, so we can write it down as x=60%.
5. Now we have two simple equations:
1) 1007.85=100%
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:
1007.85/x=100%/60%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 60% of 1007.85

1007.85/x=100/60
(1007.85/x)*x=(100/60)*x       - we multiply both sides of the equation by x
1007.85=1.6666666666667*x       - we divide both sides of the equation by (1.6666666666667) to get x
1007.85/1.6666666666667=x
604.71=x
x=604.71

now we have:
60% of 1007.85=604.71