#### Solution for 189 is what percent of 369:

189:369*100 =

(189*100):369 =

18900:369 = 51.22

Now we have: 189 is what percent of 369 = 51.22

Question: 189 is what percent of 369?

Percentage solution with steps:

Step 1: We make the assumption that 369 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\%}={369}.

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

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

{100\%}={369}(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{369}{189}

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

\frac{x\%}{100\%}=\frac{189}{369}

\Rightarrow{x} = {51.22\%}

Therefore, {189} is {51.22\%} of {369}.

#### Solution for 369 is what percent of 189:

369:189*100 =

(369*100):189 =

36900:189 = 195.24

Now we have: 369 is what percent of 189 = 195.24

Question: 369 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\%}={369}.

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

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

{x\%}={369}(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}{369}

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

\frac{x\%}{100\%}=\frac{369}{189}

\Rightarrow{x} = {195.24\%}

Therefore, {369} is {195.24\%} of {189}.

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