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Solution for 4.0 is what percent of 46:

4.0:46*100 =

(4.0*100):46 =

400:46 = 8.695652173913

Now we have: 4.0 is what percent of 46 = 8.695652173913

Question: 4.0 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\%}={4.0}.

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

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

{x\%}={4.0}(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}{4.0}

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

\frac{x\%}{100\%}=\frac{4.0}{46}

\Rightarrow{x} = {8.695652173913\%}

Therefore, {4.0} is {8.695652173913\%} of {46}.

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• 4.0 is what percent of 20 = 20
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• 4.0 is what percent of 45 = 8.89
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• 4.0 is what percent of 47 = 8.51
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Solution for 46 is what percent of 4.0:

46:4.0*100 =

(46*100):4.0 =

4600:4.0 = 1150

Now we have: 46 is what percent of 4.0 = 1150

Question: 46 is what percent of 4.0?

Percentage solution with steps:

Step 1: We make the assumption that 4.0 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\%}={4.0}.

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

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

{100\%}={4.0}(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{4.0}{46}

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

\frac{x\%}{100\%}=\frac{46}{4.0}

\Rightarrow{x} = {1150\%}

Therefore, {46} is {1150\%} of {4.0}.