#### Solution for 3.85 is what percent of 4.6:

3.85:4.6*100 =

(3.85*100):4.6 =

385:4.6 = 83.695652173913

Now we have: 3.85 is what percent of 4.6 = 83.695652173913

Question: 3.85 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\%}={3.85}.

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

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

{x\%}={3.85}(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}{3.85}

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

\frac{x\%}{100\%}=\frac{3.85}{4.6}

\Rightarrow{x} = {83.695652173913\%}

Therefore, {3.85} is {83.695652173913\%} of {4.6}.

#### Solution for 4.6 is what percent of 3.85:

4.6:3.85*100 =

(4.6*100):3.85 =

460:3.85 = 119.48051948052

Now we have: 4.6 is what percent of 3.85 = 119.48051948052

Question: 4.6 is what percent of 3.85?

Percentage solution with steps:

Step 1: We make the assumption that 3.85 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\%}={3.85}.

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

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

{100\%}={3.85}(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{3.85}{4.6}

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

\frac{x\%}{100\%}=\frac{4.6}{3.85}

\Rightarrow{x} = {119.48051948052\%}

Therefore, {4.6} is {119.48051948052\%} of {3.85}.

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