#### Solution for 4.2 is what percent of 1.6:

4.2:1.6*100 =

(4.2*100):1.6 =

420:1.6 = 262.5

Now we have: 4.2 is what percent of 1.6 = 262.5

Question: 4.2 is what percent of 1.6?

Percentage solution with steps:

Step 1: We make the assumption that 1.6 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\%}={1.6}.

Step 4: In the same vein, {x\%}={4.2}.

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

{100\%}={1.6}(1).

{x\%}={4.2}(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{1.6}{4.2}

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

\frac{x\%}{100\%}=\frac{4.2}{1.6}

\Rightarrow{x} = {262.5\%}

Therefore, {4.2} is {262.5\%} of {1.6}.

#### Solution for 1.6 is what percent of 4.2:

1.6:4.2*100 =

(1.6*100):4.2 =

160:4.2 = 38.095238095238

Now we have: 1.6 is what percent of 4.2 = 38.095238095238

Question: 1.6 is what percent of 4.2?

Percentage solution with steps:

Step 1: We make the assumption that 4.2 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\%}={4.2}.

Step 4: In the same vein, {x\%}={1.6}.

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

{100\%}={4.2}(1).

{x\%}={1.6}(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{4.2}{1.6}

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

\frac{x\%}{100\%}=\frac{1.6}{4.2}

\Rightarrow{x} = {38.095238095238\%}

Therefore, {1.6} is {38.095238095238\%} of {4.2}.

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