#### Solution for 262 is what percent of 700:

262:700*100 =

(262*100):700 =

26200:700 = 37.43

Now we have: 262 is what percent of 700 = 37.43

Question: 262 is what percent of 700?

Percentage solution with steps:

Step 1: We make the assumption that 700 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\%}={700}.

Step 4: In the same vein, {x\%}={262}.

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

{100\%}={700}(1).

{x\%}={262}(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{700}{262}

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

\frac{x\%}{100\%}=\frac{262}{700}

\Rightarrow{x} = {37.43\%}

Therefore, {262} is {37.43\%} of {700}.

#### Solution for 700 is what percent of 262:

700:262*100 =

(700*100):262 =

70000:262 = 267.18

Now we have: 700 is what percent of 262 = 267.18

Question: 700 is what percent of 262?

Percentage solution with steps:

Step 1: We make the assumption that 262 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\%}={262}.

Step 4: In the same vein, {x\%}={700}.

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

{100\%}={262}(1).

{x\%}={700}(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{262}{700}

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

\frac{x\%}{100\%}=\frac{700}{262}

\Rightarrow{x} = {267.18\%}

Therefore, {700} is {267.18\%} of {262}.

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