#### Solution for 379 is what percent of 700:

379:700*100 =

(379*100):700 =

37900:700 = 54.14

Now we have: 379 is what percent of 700 = 54.14

Question: 379 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\%}={379}.

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

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

{x\%}={379}(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}{379}

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

\frac{x\%}{100\%}=\frac{379}{700}

\Rightarrow{x} = {54.14\%}

Therefore, {379} is {54.14\%} of {700}.

#### Solution for 700 is what percent of 379:

700:379*100 =

(700*100):379 =

70000:379 = 184.7

Now we have: 700 is what percent of 379 = 184.7

Question: 700 is what percent of 379?

Percentage solution with steps:

Step 1: We make the assumption that 379 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\%}={379}.

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

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

{100\%}={379}(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{379}{700}

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

\frac{x\%}{100\%}=\frac{700}{379}

\Rightarrow{x} = {184.7\%}

Therefore, {700} is {184.7\%} of {379}.

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