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Solution for 46 is what percent of 74:

46:74*100 =

(46*100):74 =

4600:74 = 62.16

Now we have: 46 is what percent of 74 = 62.16

Question: 46 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\%}={46}.

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

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

{x\%}={46}(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}{46}

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

\frac{x\%}{100\%}=\frac{46}{74}

\Rightarrow{x} = {62.16\%}

Therefore, {46} is {62.16\%} of {74}.

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Solution for 74 is what percent of 46:

74:46*100 =

(74*100):46 =

7400:46 = 160.87

Now we have: 74 is what percent of 46 = 160.87

Question: 74 is what percent of 46?

Percentage solution with steps:

Step 1: We make the assumption that 46 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\%}={46}.

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

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

{100\%}={46}(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{46}{74}

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

\frac{x\%}{100\%}=\frac{74}{46}

\Rightarrow{x} = {160.87\%}

Therefore, {74} is {160.87\%} of {46}.