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Solution for 5.5 is what percent of 46:

5.5:46*100 =

(5.5*100):46 =

550:46 = 11.95652173913

Now we have: 5.5 is what percent of 46 = 11.95652173913

Question: 5.5 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\%}={5.5}.

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

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

{x\%}={5.5}(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}{5.5}

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

\frac{x\%}{100\%}=\frac{5.5}{46}

\Rightarrow{x} = {11.95652173913\%}

Therefore, {5.5} is {11.95652173913\%} of {46}.

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Solution for 46 is what percent of 5.5:

46:5.5*100 =

(46*100):5.5 =

4600:5.5 = 836.36363636364

Now we have: 46 is what percent of 5.5 = 836.36363636364

Question: 46 is what percent of 5.5?

Percentage solution with steps:

Step 1: We make the assumption that 5.5 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\%}={5.5}.

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

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

{100\%}={5.5}(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{5.5}{46}

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

\frac{x\%}{100\%}=\frac{46}{5.5}

\Rightarrow{x} = {836.36363636364\%}

Therefore, {46} is {836.36363636364\%} of {5.5}.