#### Solution for 4.16 is what percent of 46.20:

4.16:46.20*100 =

(4.16*100):46.20 =

416:46.20 = 9.004329004329

Now we have: 4.16 is what percent of 46.20 = 9.004329004329

Question: 4.16 is what percent of 46.20?

Percentage solution with steps:

Step 1: We make the assumption that 46.20 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\%}={46.20}.

Step 4: In the same vein, {x\%}={4.16}.

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

{100\%}={46.20}(1).

{x\%}={4.16}(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{46.20}{4.16}

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

\frac{x\%}{100\%}=\frac{4.16}{46.20}

\Rightarrow{x} = {9.004329004329\%}

Therefore, {4.16} is {9.004329004329\%} of {46.20}.

#### Solution for 46.20 is what percent of 4.16:

46.20:4.16*100 =

(46.20*100):4.16 =

4620:4.16 = 1110.5769230769

Now we have: 46.20 is what percent of 4.16 = 1110.5769230769

Question: 46.20 is what percent of 4.16?

Percentage solution with steps:

Step 1: We make the assumption that 4.16 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\%}={4.16}.

Step 4: In the same vein, {x\%}={46.20}.

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

{100\%}={4.16}(1).

{x\%}={46.20}(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{4.16}{46.20}

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

\frac{x\%}{100\%}=\frac{46.20}{4.16}

\Rightarrow{x} = {1110.5769230769\%}

Therefore, {46.20} is {1110.5769230769\%} of {4.16}.

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