#### Solution for 349 is what percent of 380:

349:380*100 =

(349*100):380 =

34900:380 = 91.84

Now we have: 349 is what percent of 380 = 91.84

Question: 349 is what percent of 380?

Percentage solution with steps:

Step 1: We make the assumption that 380 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\%}={380}.

Step 4: In the same vein, {x\%}={349}.

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

{100\%}={380}(1).

{x\%}={349}(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{380}{349}

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

\frac{x\%}{100\%}=\frac{349}{380}

\Rightarrow{x} = {91.84\%}

Therefore, {349} is {91.84\%} of {380}.

#### Solution for 380 is what percent of 349:

380:349*100 =

(380*100):349 =

38000:349 = 108.88

Now we have: 380 is what percent of 349 = 108.88

Question: 380 is what percent of 349?

Percentage solution with steps:

Step 1: We make the assumption that 349 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\%}={349}.

Step 4: In the same vein, {x\%}={380}.

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

{100\%}={349}(1).

{x\%}={380}(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{349}{380}

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

\frac{x\%}{100\%}=\frac{380}{349}

\Rightarrow{x} = {108.88\%}

Therefore, {380} is {108.88\%} of {349}.

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