#### Solution for 189 is what percent of 343:

189:343*100 =

(189*100):343 =

18900:343 = 55.1

Now we have: 189 is what percent of 343 = 55.1

Question: 189 is what percent of 343?

Percentage solution with steps:

Step 1: We make the assumption that 343 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\%}={343}.

Step 4: In the same vein, {x\%}={189}.

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

{100\%}={343}(1).

{x\%}={189}(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{343}{189}

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

\frac{x\%}{100\%}=\frac{189}{343}

\Rightarrow{x} = {55.1\%}

Therefore, {189} is {55.1\%} of {343}.

#### Solution for 343 is what percent of 189:

343:189*100 =

(343*100):189 =

34300:189 = 181.48

Now we have: 343 is what percent of 189 = 181.48

Question: 343 is what percent of 189?

Percentage solution with steps:

Step 1: We make the assumption that 189 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\%}={189}.

Step 4: In the same vein, {x\%}={343}.

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

{100\%}={189}(1).

{x\%}={343}(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{189}{343}

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

\frac{x\%}{100\%}=\frac{343}{189}

\Rightarrow{x} = {181.48\%}

Therefore, {343} is {181.48\%} of {189}.

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