#### Solution for 49 is what percent of 83:

49: 83*100 =

(49*100): 83 =

4900: 83 = 59.04

Now we have: 49 is what percent of 83 = 59.04

Question: 49 is what percent of 83?

Percentage solution with steps:

Step 1: We make the assumption that 83 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\%}={ 83}.

Step 4: In the same vein, {x\%}={49}.

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

{100\%}={ 83}(1).

{x\%}={49}(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{ 83}{49}

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

\frac{x\%}{100\%}=\frac{49}{ 83}

\Rightarrow{x} = {59.04\%}

Therefore, {49} is {59.04\%} of { 83}.

#### Solution for 83 is what percent of 49:

83:49*100 =

( 83*100):49 =

8300:49 = 169.39

Now we have: 83 is what percent of 49 = 169.39

Question: 83 is what percent of 49?

Percentage solution with steps:

Step 1: We make the assumption that 49 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\%}={49}.

Step 4: In the same vein, {x\%}={ 83}.

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

{100\%}={49}(1).

{x\%}={ 83}(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{49}{ 83}

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

\frac{x\%}{100\%}=\frac{ 83}{49}

\Rightarrow{x} = {169.39\%}

Therefore, { 83} is {169.39\%} of {49}.

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