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Solution for 0.40 is what percent of 46:

0.40:46*100 =

(0.40*100):46 =

40:46 = 0.8695652173913

Now we have: 0.40 is what percent of 46 = 0.8695652173913

Question: 0.40 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\%}={0.40}.

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

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

{x\%}={0.40}(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}{0.40}

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

\frac{x\%}{100\%}=\frac{0.40}{46}

\Rightarrow{x} = {0.8695652173913\%}

Therefore, {0.40} is {0.8695652173913\%} of {46}.

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• 0.40 is what percent of 40 = 1
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• 0.40 is what percent of 45 = 0.89
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• 0.40 is what percent of 100 = 0.4

Solution for 46 is what percent of 0.40:

46:0.40*100 =

(46*100):0.40 =

4600:0.40 = 11500

Now we have: 46 is what percent of 0.40 = 11500

Question: 46 is what percent of 0.40?

Percentage solution with steps:

Step 1: We make the assumption that 0.40 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\%}={0.40}.

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

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

{100\%}={0.40}(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{0.40}{46}

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

\frac{x\%}{100\%}=\frac{46}{0.40}

\Rightarrow{x} = {11500\%}

Therefore, {46} is {11500\%} of {0.40}.