What is 46 percent of 0.46 - step by step solution

Simple and best practice solution for 46% of 0.46. 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 0.46 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 0.46 is 100%, so we can write it down as 0.46=100%.
4. We know, that x is 46% of the output value, so we can write it down as x=46%.
5. Now we have two simple equations:
1) 0.46=100%
2) x=46%
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:
0.46/x=100%/46%
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% of 0.46

0.46/x=100/46
(0.46/x)*x=(100/46)*x       - we multiply both sides of the equation by x
0.46=2.17391304348*x       - we divide both sides of the equation by (2.17391304348) to get x
0.46/2.17391304348=x
0.2116=x
x=0.2116

now we have:
46% of 0.46=0.2116

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