What is 26.4 percent of 46 - step by step solution

Simple and best practice solution for 26.4% of 46. 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 46 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 46 is 100%, so we can write it down as 46=100%.
4. We know, that x is 26.4% of the output value, so we can write it down as x=26.4%.
5. Now we have two simple equations:
1) 46=100%
2) x=26.4%
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:
46/x=100%/26.4%
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 26.4% of 46

46/x=100/26.4
(46/x)*x=(100/26.4)*x - we multiply both sides of the equation by x
46=3.8*x - we divide both sides of the equation by (3.8) to get x
46/3.8=x
12.144=x
x=12.144

now we have:
26.4% of 46=12.144

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