What is 66.6 percent of 7200 - 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 7200 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 7200 is 100%, so we can write it down as 7200=100%.
4. We know, that x is 66.6% of the output value, so we can write it down as x=66.6%.
5. Now we have two simple equations:
1) 7200=100%
2) x=66.6%
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:
7200/x=100%/66.6%
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 66.6% of 7200

7200/x=100/66.6
(7200/x)*x=(100/66.6)*x       - we multiply both sides of the equation by x
7200=1.5015015015015*x       - we divide both sides of the equation by (1.5015015015015) to get x
7200/1.5015015015015=x
4795.2=x
x=4795.2

now we have:
66.6% of 7200=4795.2