### If x is 10% less than y, then find the percentage by which y is more than x.

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**Answer: **

%

**Step by Step Explanation: **- According to the question, x is 10% less than y.

This can be written as:

x = y - (y × ) - From the above equation, we can calculate y in terms of x. In order to do that, we must simplify the equation and rearrange it accordingly.

Thus,the equation becomes :

x = y - ,

which implies, x = y(1 - )

or, x = y( )

or, x =

or, y = - Now, let us try to rewrite the right-hand side of the above equation as a mixed number.

y = x + - From the above equation, we know that: "y is more than x by a factor of ".
- To convert a factor into a percentage, we need to multiply the factor by 100.

This means that the following two statements mean the same:

"y is more than x by a factor of ".

and

"y is more than x by percent." - On writing the above percentage as a mixed fraction, we get:

"y is more than x by ** %**"