What is 46.15 percent of 360 - step by step solution

Simple and best practice solution for 46.15% of 360. 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 360 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 360 is 100%, so we can write it down as 360=100%.
4. We know, that x is 46.15% of the output value, so we can write it down as x=46.15%.
5. Now we have two simple equations:
1) 360=100%
2) x=46.15%
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:
360/x=100%/46.15%
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 46.15% of 360

360/x=100/46.15
(360/x)*x=(100/46.15)*x       - we multiply both sides of the equation by x
360=2.1668472372698*x       - we divide both sides of the equation by (2.1668472372698) to get x
360/2.1668472372698=x
166.14=x
x=166.14

now we have:
46.15% of 360=166.14

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