1333.78 is what percent of 1608.78 - 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 1608.78 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 1608.78, so we can write it down as 100%=1608.78.
4. We know, that x% equals 1333.78 of the output value, so we can write it down as x%=1333.78.
5. Now we have two simple equations:
1) 100%=1608.78
2) x%=1333.78
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%=1608.78/1333.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1333.78 is what percent of 1608.78

100%/x%=1608.78/1333.78
(100/x)*x=(1608.78/1333.78)*x       - we multiply both sides of the equation by x
100=1.2061809293887*x       - we divide both sides of the equation by (1.2061809293887) to get x
100/1.2061809293887=x
82.906301669588=x
x=82.906301669588

now we have:
1333.78 is 82.906301669588% of 1608.78