#### Solution for 7 is what percent of 26:

7:26*100 =

(7*100):26 =

700:26 = 26.92

Now we have: 7 is what percent of 26 = 26.92

Question: 7 is what percent of 26?

Percentage solution with steps:

Step 1: We make the assumption that 26 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\%}={26}.

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

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

{100\%}={26}(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{26}{7}

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

\frac{x\%}{100\%}=\frac{7}{26}

\Rightarrow{x} = {26.92\%}

Therefore, {7} is {26.92\%} of {26}.

#### Solution for 26 is what percent of 7:

26:7*100 =

(26*100):7 =

2600:7 = 371.43

Now we have: 26 is what percent of 7 = 371.43

Question: 26 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\%}={26}.

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

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

{x\%}={26}(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}{26}

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

\frac{x\%}{100\%}=\frac{26}{7}

\Rightarrow{x} = {371.43\%}

Therefore, {26} is {371.43\%} of {7}.

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