#### Solution for 10 is what percent of 406:

10:406*100 =

(10*100):406 =

1000:406 = 2.46

Now we have: 10 is what percent of 406 = 2.46

Question: 10 is what percent of 406?

Percentage solution with steps:

Step 1: We make the assumption that 406 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={406}.

Step 4: In the same vein, {x\%}={10}.

Step 5: This gives us a pair of simple equations:

{100\%}={406}(1).

{x\%}={10}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{406}{10}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{10}{406}

\Rightarrow{x} = {2.46\%}

Therefore, {10} is {2.46\%} of {406}.

#### Solution for 406 is what percent of 10:

406:10*100 =

(406*100):10 =

40600:10 = 4060

Now we have: 406 is what percent of 10 = 4060

Question: 406 is what percent of 10?

Percentage solution with steps:

Step 1: We make the assumption that 10 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={10}.

Step 4: In the same vein, {x\%}={406}.

Step 5: This gives us a pair of simple equations:

{100\%}={10}(1).

{x\%}={406}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{10}{406}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{406}{10}

\Rightarrow{x} = {4060\%}

Therefore, {406} is {4060\%} of {10}.

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