What is 162.5 percent of 464.75 - 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 464.75 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 464.75 is 100%, so we can write it down as 464.75=100%.
4. We know, that x is 162.5% of the output value, so we can write it down as x=162.5%.
5. Now we have two simple equations:
1) 464.75=100%
2) x=162.5%
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:
464.75/x=100%/162.5%
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 162.5% of 464.75

464.75/x=100/162.5
(464.75/x)*x=(100/162.5)*x       - we multiply both sides of the equation by x
464.75=0.61538461538462*x       - we divide both sides of the equation by (0.61538461538462) to get x
464.75/0.61538461538462=x
755.21875=x
x=755.21875

now we have:
162.5% of 464.75=755.21875