#### Solution for 5.2 is what percent of 4.2:

5.2:4.2*100 =

(5.2*100):4.2 =

520:4.2 = 123.80952380952

Now we have: 5.2 is what percent of 4.2 = 123.80952380952

Question: 5.2 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\%}={5.2}.

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

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

{x\%}={5.2}(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{4.2}{5.2}

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

\frac{x\%}{100\%}=\frac{5.2}{4.2}

\Rightarrow{x} = {123.80952380952\%}

Therefore, {5.2} is {123.80952380952\%} of {4.2}.

#### Solution for 4.2 is what percent of 5.2:

4.2:5.2*100 =

(4.2*100):5.2 =

420:5.2 = 80.769230769231

Now we have: 4.2 is what percent of 5.2 = 80.769230769231

Question: 4.2 is what percent of 5.2?

Percentage solution with steps:

Step 1: We make the assumption that 5.2 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\%}={5.2}.

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

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

{100\%}={5.2}(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{5.2}{4.2}

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

\frac{x\%}{100\%}=\frac{4.2}{5.2}

\Rightarrow{x} = {80.769230769231\%}

Therefore, {4.2} is {80.769230769231\%} of {5.2}.

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