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Solution for 38.25 is what percent of 83:

38.25:83*100 =

(38.25*100):83 =

3825:83 = 46.084337349398

Now we have: 38.25 is what percent of 83 = 46.084337349398

Question: 38.25 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\%}={38.25}.

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

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

{x\%}={38.25}(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}{38.25}

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

\frac{x\%}{100\%}=\frac{38.25}{83}

\Rightarrow{x} = {46.084337349398\%}

Therefore, {38.25} is {46.084337349398\%} of {83}.

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• 38.25 is what percent of 100 = 38.25

Solution for 83 is what percent of 38.25:

83:38.25*100 =

(83*100):38.25 =

8300:38.25 = 216.99346405229

Now we have: 83 is what percent of 38.25 = 216.99346405229

Question: 83 is what percent of 38.25?

Percentage solution with steps:

Step 1: We make the assumption that 38.25 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\%}={38.25}.

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

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

{100\%}={38.25}(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{38.25}{83}

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

\frac{x\%}{100\%}=\frac{83}{38.25}

\Rightarrow{x} = {216.99346405229\%}

Therefore, {83} is {216.99346405229\%} of {38.25}.