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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