Solution for 7 is what percent of 49:

7:49*100 =

(7*100):49 =

700:49 = 14.29

Now we have: 7 is what percent of 49 = 14.29

Question: 7 is what percent of 49?

Percentage solution with steps:

Step 1: We make the assumption that 49 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\%}={49}.

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

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

{100\%}={49}(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{49}{7}

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

\frac{x\%}{100\%}=\frac{7}{49}

\Rightarrow{x} = {14.29\%}

Therefore, {7} is {14.29\%} of {49}.

Solution for 49 is what percent of 7:

49:7*100 =

(49*100):7 =

4900:7 = 700

Now we have: 49 is what percent of 7 = 700

Question: 49 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\%}={49}.

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

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

{x\%}={49}(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}{49}

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

\frac{x\%}{100\%}=\frac{49}{7}

\Rightarrow{x} = {700\%}

Therefore, {49} is {700\%} of {7}.

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