#### Solution for 4.6 is what percent of 115.4:

4.6:115.4*100 =

(4.6*100):115.4 =

460:115.4 = 3.9861351819757

Now we have: 4.6 is what percent of 115.4 = 3.9861351819757

Question: 4.6 is what percent of 115.4?

Percentage solution with steps:

Step 1: We make the assumption that 115.4 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\%}={115.4}.

Step 4: In the same vein, {x\%}={4.6}.

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

{100\%}={115.4}(1).

{x\%}={4.6}(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{115.4}{4.6}

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

\frac{x\%}{100\%}=\frac{4.6}{115.4}

\Rightarrow{x} = {3.9861351819757\%}

Therefore, {4.6} is {3.9861351819757\%} of {115.4}.

#### Solution for 115.4 is what percent of 4.6:

115.4:4.6*100 =

(115.4*100):4.6 =

11540:4.6 = 2508.6956521739

Now we have: 115.4 is what percent of 4.6 = 2508.6956521739

Question: 115.4 is what percent of 4.6?

Percentage solution with steps:

Step 1: We make the assumption that 4.6 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\%}={4.6}.

Step 4: In the same vein, {x\%}={115.4}.

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

{100\%}={4.6}(1).

{x\%}={115.4}(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{4.6}{115.4}

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

\frac{x\%}{100\%}=\frac{115.4}{4.6}

\Rightarrow{x} = {2508.6956521739\%}

Therefore, {115.4} is {2508.6956521739\%} of {4.6}.

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