What is 67.555555556 percent of 6.45 - 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 6.45 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 6.45 is 100%, so we can write it down as 6.45=100%.
4. We know, that x is 67.555555556% of the output value, so we can write it down as x=67.555555556%.
5. Now we have two simple equations:
1) 6.45=100%
2) x=67.555555556%
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:
6.45/x=100%/67.555555556%
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 67.555555556% of 6.45

6.45/x=100/67.555555556
(6.45/x)*x=(100/67.555555556)*x       - we multiply both sides of the equation by x
6.45=1.480263157885*x       - we divide both sides of the equation by (1.480263157885) to get x
6.45/1.480263157885=x
4.357333333362=x
x=4.357333333362

now we have:
67.555555556% of 6.45=4.357333333362