What is 54.2858 percent of 400 - step by step solution

Simple and best practice solution for 54.2858% of 400. 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 400 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 400 is 100%, so we can write it down as 400=100%.
4. We know, that x is 54.2858% of the output value, so we can write it down as x=54.2858%.
5. Now we have two simple equations:
1) 400=100%
2) x=54.2858%
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:
400/x=100%/54.2858%
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 54.2858% of 400

400/x=100/54.2858
(400/x)*x=(100/54.2858)*x       - we multiply both sides of the equation by x
400=1.8421023545752*x       - we divide both sides of the equation by (1.8421023545752) to get x
400/1.8421023545752=x
217.1432=x
x=217.1432

now we have:
54.2858% of 400=217.1432

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