#### Solution for 83 is what percent of 74:

83:74*100 =

(83*100):74 =

8300:74 = 112.16

Now we have: 83 is what percent of 74 = 112.16

Question: 83 is what percent of 74?

Percentage solution with steps:

Step 1: We make the assumption that 74 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\%}={74}.

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

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

{100\%}={74}(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{74}{83}

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

\frac{x\%}{100\%}=\frac{83}{74}

\Rightarrow{x} = {112.16\%}

Therefore, {83} is {112.16\%} of {74}.

#### Solution for 74 is what percent of 83:

74:83*100 =

(74*100):83 =

7400:83 = 89.16

Now we have: 74 is what percent of 83 = 89.16

Question: 74 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\%}={74}.

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

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

{x\%}={74}(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}{74}

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

\frac{x\%}{100\%}=\frac{74}{83}

\Rightarrow{x} = {89.16\%}

Therefore, {74} is {89.16\%} of {83}.

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