#### Solution for 111 is what percent of 700:

111:700*100 =

(111*100):700 =

11100:700 = 15.86

Now we have: 111 is what percent of 700 = 15.86

Question: 111 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\%}={111}.

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

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

{x\%}={111}(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}{111}

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

\frac{x\%}{100\%}=\frac{111}{700}

\Rightarrow{x} = {15.86\%}

Therefore, {111} is {15.86\%} of {700}.

#### Solution for 700 is what percent of 111:

700:111*100 =

(700*100):111 =

70000:111 = 630.63

Now we have: 700 is what percent of 111 = 630.63

Question: 700 is what percent of 111?

Percentage solution with steps:

Step 1: We make the assumption that 111 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\%}={111}.

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

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

{100\%}={111}(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{111}{700}

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

\frac{x\%}{100\%}=\frac{700}{111}

\Rightarrow{x} = {630.63\%}

Therefore, {700} is {630.63\%} of {111}.

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