What is 462.4 percent of 585 - step by step solution

Simple and best practice solution for 462.4% of 585. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

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To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 585 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 585 is 100%, so we can write it down as 585=100%.
4. We know, that x is 462.4% of the output value, so we can write it down as x=462.4%.
5. Now we have two simple equations:
1) 585=100%
2) x=462.4%
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:
585/x=100%/462.4%
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 462.4% of 585

585/x=100/462.4
(585/x)*x=(100/462.4)*x - we multiply both sides of the equation by x
585=0.55*x - we divide both sides of the equation by (0.55) to get x
585/0.55=x
2705.04=x
x=2705.04

now we have:
462.4% of 585=2705.04

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