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Solution for 46 is what percent of 76:

46:76*100 =

(46*100):76 =

4600:76 = 60.53

Now we have: 46 is what percent of 76 = 60.53

Question: 46 is what percent of 76?

Percentage solution with steps:

Step 1: We make the assumption that 76 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\%}={76}.

Step 4: In the same vein, {x\%}={46}.

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

{100\%}={76}(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{76}{46}

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

\frac{x\%}{100\%}=\frac{46}{76}

\Rightarrow{x} = {60.53\%}

Therefore, {46} is {60.53\%} of {76}.

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Solution for 76 is what percent of 46:

76:46*100 =

(76*100):46 =

7600:46 = 165.22

Now we have: 76 is what percent of 46 = 165.22

Question: 76 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\%}={76}.

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

{100\%}={46}(1).

{x\%}={76}(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}{76}

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

\frac{x\%}{100\%}=\frac{76}{46}

\Rightarrow{x} = {165.22\%}

Therefore, {76} is {165.22\%} of {46}.