What is 64.61 percent of 4.45 - 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 4.45 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 4.45 is 100%, so we can write it down as 4.45=100%.
4. We know, that x is 64.61% of the output value, so we can write it down as x=64.61%.
5. Now we have two simple equations:
1) 4.45=100%
2) x=64.61%
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:
4.45/x=100%/64.61%
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 64.61% of 4.45

4.45/x=100/64.61
(4.45/x)*x=(100/64.61)*x       - we multiply both sides of the equation by x
4.45=1.5477480266213*x       - we divide both sides of the equation by (1.5477480266213) to get x
4.45/1.5477480266213=x
2.875145=x
x=2.875145

now we have:
64.61% of 4.45=2.875145