What is 66 percent of 1042.4 - 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 1042.4 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 1042.4 is 100%, so we can write it down as 1042.4=100%.
4. We know, that x is 66% of the output value, so we can write it down as x=66%.
5. Now we have two simple equations:
1) 1042.4=100%
2) x=66%
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:
1042.4/x=100%/66%
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% of 1042.4

1042.4/x=100/66
(1042.4/x)*x=(100/66)*x       - we multiply both sides of the equation by x
1042.4=1.5151515151515*x       - we divide both sides of the equation by (1.5151515151515) to get x
1042.4/1.5151515151515=x
687.984=x
x=687.984

now we have:
66% of 1042.4=687.984