What is 1.45 percent of 463.05 - 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 463.05 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 463.05 is 100%, so we can write it down as 463.05=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) 463.05=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:
463.05/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 463.05

463.05/x=100/1.45
(463.05/x)*x=(100/1.45)*x       - we multiply both sides of the equation by x
463.05=68.965517241379*x       - we divide both sides of the equation by (68.965517241379) to get x
463.05/68.965517241379=x
6.714225=x
x=6.714225

now we have:
1.45% of 463.05=6.714225