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Solution for 1.1 is what percent of 46:

1.1:46*100 =

(1.1*100):46 =

110:46 = 2.3913043478261

Now we have: 1.1 is what percent of 46 = 2.3913043478261

Question: 1.1 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\%}={1.1}.

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

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

{x\%}={1.1}(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}{1.1}

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

\frac{x\%}{100\%}=\frac{1.1}{46}

\Rightarrow{x} = {2.3913043478261\%}

Therefore, {1.1} is {2.3913043478261\%} of {46}.

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• 1.1 is what percent of 45 = 2.44
• 1.1 is what percent of 46 = 2.39
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• 1.1 is what percent of 100 = 1.1

Solution for 46 is what percent of 1.1:

46:1.1*100 =

(46*100):1.1 =

4600:1.1 = 4181.8181818182

Now we have: 46 is what percent of 1.1 = 4181.8181818182

Question: 46 is what percent of 1.1?

Percentage solution with steps:

Step 1: We make the assumption that 1.1 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\%}={1.1}.

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

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

{100\%}={1.1}(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{1.1}{46}

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

\frac{x\%}{100\%}=\frac{46}{1.1}

\Rightarrow{x} = {4181.8181818182\%}

Therefore, {46} is {4181.8181818182\%} of {1.1}.