#### Solution for 4 is what percent of 7.7:

4:7.7*100 =

(4*100):7.7 =

400:7.7 = 51.948051948052

Now we have: 4 is what percent of 7.7 = 51.948051948052

Question: 4 is what percent of 7.7?

Percentage solution with steps:

Step 1: We make the assumption that 7.7 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\%}={7.7}.

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

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

{100\%}={7.7}(1).

{x\%}={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{7.7}{4}

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

\frac{x\%}{100\%}=\frac{4}{7.7}

\Rightarrow{x} = {51.948051948052\%}

Therefore, {4} is {51.948051948052\%} of {7.7}.

#### Solution for 7.7 is what percent of 4:

7.7:4*100 =

(7.7*100):4 =

770:4 = 192.5

Now we have: 7.7 is what percent of 4 = 192.5

Question: 7.7 is what percent of 4?

Percentage solution with steps:

Step 1: We make the assumption that 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\%}={4}.

Step 4: In the same vein, {x\%}={7.7}.

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

{100\%}={4}(1).

{x\%}={7.7}(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}{7.7}

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

\frac{x\%}{100\%}=\frac{7.7}{4}

\Rightarrow{x} = {192.5\%}

Therefore, {7.7} is {192.5\%} of {4}.

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