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Solution for 54.2 is what percent of 46:

54.2:46*100 =

(54.2*100):46 =

5420:46 = 117.82608695652

Now we have: 54.2 is what percent of 46 = 117.82608695652

Question: 54.2 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\%}={54.2}.

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

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

{x\%}={54.2}(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}{54.2}

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

\frac{x\%}{100\%}=\frac{54.2}{46}

\Rightarrow{x} = {117.82608695652\%}

Therefore, {54.2} is {117.82608695652\%} of {46}.

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Solution for 46 is what percent of 54.2:

46:54.2*100 =

(46*100):54.2 =

4600:54.2 = 84.870848708487

Now we have: 46 is what percent of 54.2 = 84.870848708487

Question: 46 is what percent of 54.2?

Percentage solution with steps:

Step 1: We make the assumption that 54.2 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\%}={54.2}.

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

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

{100\%}={54.2}(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{54.2}{46}

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

\frac{x\%}{100\%}=\frac{46}{54.2}

\Rightarrow{x} = {84.870848708487\%}

Therefore, {46} is {84.870848708487\%} of {54.2}.