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Solution for 83.5 is what percent of 49:

83.5:49*100 =

(83.5*100):49 =

8350:49 = 170.40816326531

Now we have: 83.5 is what percent of 49 = 170.40816326531

Question: 83.5 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\%}={83.5}.

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

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

{x\%}={83.5}(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}{83.5}

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

\frac{x\%}{100\%}=\frac{83.5}{49}

\Rightarrow{x} = {170.40816326531\%}

Therefore, {83.5} is {170.40816326531\%} of {49}.

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• 83.5 is what percent of 100 = 83.5

Solution for 49 is what percent of 83.5:

49:83.5*100 =

(49*100):83.5 =

4900:83.5 = 58.682634730539

Now we have: 49 is what percent of 83.5 = 58.682634730539

Question: 49 is what percent of 83.5?

Percentage solution with steps:

Step 1: We make the assumption that 83.5 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\%}={83.5}.

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

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

{100\%}={83.5}(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{83.5}{49}

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

\frac{x\%}{100\%}=\frac{49}{83.5}

\Rightarrow{x} = {58.682634730539\%}

Therefore, {49} is {58.682634730539\%} of {83.5}.