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36.8% of what is 28.52?

1 Answer

2 votes
We assume, that the number 28.52 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 28.52 is 100%, so we can write it down as 28.52=100%.
4. We know, that x is 36.8% of the output value, so we can write it down as x=36.8%.
5. Now we have two simple equations:
1) 28.52=100%
2) x=36.8%
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:
28.52/x=100%/36.8%
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 36.8% of 28.52

28.52/x=100/36.8
(28.52/x)*x=(100/36.8)*x - we multiply both sides of the equation by x
28.52=2.71739130435*x - we divide both sides of the equation by (2.71739130435) to get x
28.52/2.71739130435=x
10.49536=x
x=10.49536
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