What is 16.44 percent of 460.53 - 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 460.53 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 460.53 is 100%, so we can write it down as 460.53=100%.
4. We know, that x is 16.44% of the output value, so we can write it down as x=16.44%.
5. Now we have two simple equations:
1) 460.53=100%
2) x=16.44%
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:
460.53/x=100%/16.44%
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 16.44% of 460.53

460.53/x=100/16.44
(460.53/x)*x=(100/16.44)*x       - we multiply both sides of the equation by x
460.53=6.0827250608272*x       - we divide both sides of the equation by (6.0827250608272) to get x
460.53/6.0827250608272=x
75.711132=x
x=75.711132

now we have:
16.44% of 460.53=75.711132