Percentage Calculator: 3 is what percent of 7? = 42.86

Solution for 3 is what percent of 7:

3: 7*100 =

( 3*100): 7 =

300: 7 = 42.86

Now we have: 3 is what percent of 7 = 42.86

Question: 3 is what percent of 7?

Percentage solution with steps:

Step 1: We make the assumption that 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}.

Step 4: In the same vein, {x\%}={ 3}.

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

{100\%}={ 7}(1).

{x\%}={ 3}(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}{ 3}

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

\frac{x\%}{100\%}=\frac{ 3}{ 7}

\Rightarrow{x} = {42.86\%}

Therefore, { 3} is {42.86\%} of { 7}.

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Solution for 7 is what percent of 3:

7: 3*100 =

( 7*100): 3 =

700: 3 = 233.33

Now we have: 7 is what percent of 3 = 233.33

Question: 7 is what percent of 3?

Percentage solution with steps:

Step 1: We make the assumption that 3 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}.

Step 4: In the same vein, {x\%}={ 7}.

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

{100\%}={ 3}(1).

{x\%}={ 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{ 3}{ 7}

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

\frac{x\%}{100\%}=\frac{ 7}{ 3}

\Rightarrow{x} = {233.33\%}

Therefore, { 7} is {233.33\%} of { 3}.

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