#### Solution for 74 is what percent of 369:

74:369*100 =

(74*100):369 =

7400:369 = 20.05

Now we have: 74 is what percent of 369 = 20.05

Question: 74 is what percent of 369?

Percentage solution with steps:

Step 1: We make the assumption that 369 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\%}={369}.

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

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

{100\%}={369}(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{369}{74}

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

\frac{x\%}{100\%}=\frac{74}{369}

\Rightarrow{x} = {20.05\%}

Therefore, {74} is {20.05\%} of {369}.

#### Solution for 369 is what percent of 74:

369:74*100 =

(369*100):74 =

36900:74 = 498.65

Now we have: 369 is what percent of 74 = 498.65

Question: 369 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\%}={369}.

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

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

{x\%}={369}(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}{369}

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

\frac{x\%}{100\%}=\frac{369}{74}

\Rightarrow{x} = {498.65\%}

Therefore, {369} is {498.65\%} of {74}.

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