#### Solution for 83 is what percent of 363:

83:363*100 =

(83*100):363 =

8300:363 = 22.87

Now we have: 83 is what percent of 363 = 22.87

Question: 83 is what percent of 363?

Percentage solution with steps:

Step 1: We make the assumption that 363 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\%}={363}.

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

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

{100\%}={363}(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{363}{83}

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

\frac{x\%}{100\%}=\frac{83}{363}

\Rightarrow{x} = {22.87\%}

Therefore, {83} is {22.87\%} of {363}.

#### Solution for 363 is what percent of 83:

363:83*100 =

(363*100):83 =

36300:83 = 437.35

Now we have: 363 is what percent of 83 = 437.35

Question: 363 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\%}={363}.

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

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

{x\%}={363}(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}{363}

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

\frac{x\%}{100\%}=\frac{363}{83}

\Rightarrow{x} = {437.35\%}

Therefore, {363} is {437.35\%} of {83}.

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