What is 1.45 percent of 456.45 - 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 456.45 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 456.45 is 100%, so we can write it down as 456.45=100%.
4. We know, that x is 1.45% of the output value, so we can write it down as x=1.45%.
5. Now we have two simple equations:
1) 456.45=100%
2) x=1.45%
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:
456.45/x=100%/1.45%
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 1.45% of 456.45

456.45/x=100/1.45
(456.45/x)*x=(100/1.45)*x       - we multiply both sides of the equation by x
456.45=68.965517241379*x       - we divide both sides of the equation by (68.965517241379) to get x
456.45/68.965517241379=x
6.618525=x
x=6.618525

now we have:
1.45% of 456.45=6.618525