What is 462.5 percent of 490 - 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 490 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 490 is 100%, so we can write it down as 490=100%.
4. We know, that x is 462.5% of the output value, so we can write it down as x=462.5%.
5. Now we have two simple equations:
1) 490=100%
2) x=462.5%
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:
490/x=100%/462.5%
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 462.5% of 490

490/x=100/462.5
(490/x)*x=(100/462.5)*x       - we multiply both sides of the equation by x
490=0.21621621621622*x       - we divide both sides of the equation by (0.21621621621622) to get x
490/0.21621621621622=x
2266.25=x
x=2266.25

now we have:
462.5% of 490=2266.25