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Solution for 7 is what percent of 46:

7:46*100 =

( 7*100):46 =

700:46 = 15.22

Now we have: 7 is what percent of 46 = 15.22

Question: 7 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\%}={ 7}.

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

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

{x\%}={ 7}(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}{ 7}

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

\frac{x\%}{100\%}=\frac{ 7}{46}

\Rightarrow{x} = {15.22\%}

Therefore, { 7} is {15.22\%} of {46}.

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• 7 is what percent of 33 = 21.21
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Solution for 46 is what percent of 7:

46: 7*100 =

(46*100): 7 =

4600: 7 = 657.14

Now we have: 46 is what percent of 7 = 657.14

Question: 46 is what percent of 7?

Percentage solution with steps:

Step 1: We make the assumption that 7 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\%}={ 7}.

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

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

{100\%}={ 7}(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{ 7}{46}

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

\frac{x\%}{100\%}=\frac{46}{ 7}

\Rightarrow{x} = {657.14\%}

Therefore, {46} is {657.14\%} of { 7}.