What is 6.42 percent of 1024.33 - 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 1024.33 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 1024.33 is 100%, so we can write it down as 1024.33=100%.
4. We know, that x is 6.42% of the output value, so we can write it down as x=6.42%.
5. Now we have two simple equations:
1) 1024.33=100%
2) x=6.42%
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:
1024.33/x=100%/6.42%
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 6.42% of 1024.33

1024.33/x=100/6.42
(1024.33/x)*x=(100/6.42)*x       - we multiply both sides of the equation by x
1024.33=15.576323987539*x       - we divide both sides of the equation by (15.576323987539) to get x
1024.33/15.576323987539=x
65.761986=x
x=65.761986

now we have:
6.42% of 1024.33=65.761986