What is 75 percent of 460.35 - 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 460.35 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 460.35 is 100%, so we can write it down as 460.35=100%.
4. We know, that x is 75% of the output value, so we can write it down as x=75%.
5. Now we have two simple equations:
1) 460.35=100%
2) x=75%
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:
460.35/x=100%/75%
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 75% of 460.35

460.35/x=100/75
(460.35/x)*x=(100/75)*x       - we multiply both sides of the equation by x
460.35=1.3333333333333*x       - we divide both sides of the equation by (1.3333333333333) to get x
460.35/1.3333333333333=x
345.2625=x
x=345.2625

now we have:
75% of 460.35=345.2625