#### Solution for 337 is what percent of 406:

337:406*100 =

(337*100):406 =

33700:406 = 83

Now we have: 337 is what percent of 406 = 83

Question: 337 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\%}={337}.

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

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

{x\%}={337}(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}{337}

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

\frac{x\%}{100\%}=\frac{337}{406}

\Rightarrow{x} = {83\%}

Therefore, {337} is {83\%} of {406}.

#### Solution for 406 is what percent of 337:

406:337*100 =

(406*100):337 =

40600:337 = 120.47

Now we have: 406 is what percent of 337 = 120.47

Question: 406 is what percent of 337?

Percentage solution with steps:

Step 1: We make the assumption that 337 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\%}={337}.

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

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

{100\%}={337}(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{337}{406}

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

\frac{x\%}{100\%}=\frac{406}{337}

\Rightarrow{x} = {120.47\%}

Therefore, {406} is {120.47\%} of {337}.

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