#### Solution for 74 is what percent of 192:

74:192*100 =

(74*100):192 =

7400:192 = 38.54

Now we have: 74 is what percent of 192 = 38.54

Question: 74 is what percent of 192?

Percentage solution with steps:

Step 1: We make the assumption that 192 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\%}={192}.

Step 4: In the same vein, {x\%}={74}.

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

{100\%}={192}(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{192}{74}

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

\frac{x\%}{100\%}=\frac{74}{192}

\Rightarrow{x} = {38.54\%}

Therefore, {74} is {38.54\%} of {192}.

#### Solution for 192 is what percent of 74:

192:74*100 =

(192*100):74 =

19200:74 = 259.46

Now we have: 192 is what percent of 74 = 259.46

Question: 192 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\%}={192}.

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

{100\%}={74}(1).

{x\%}={192}(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}{192}

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

\frac{x\%}{100\%}=\frac{192}{74}

\Rightarrow{x} = {259.46\%}

Therefore, {192} is {259.46\%} of {74}.

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