#### Solution for 209 is what percent of 370:

209:370*100 =

(209*100):370 =

20900:370 = 56.49

Now we have: 209 is what percent of 370 = 56.49

Question: 209 is what percent of 370?

Percentage solution with steps:

Step 1: We make the assumption that 370 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\%}={370}.

Step 4: In the same vein, {x\%}={209}.

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

{100\%}={370}(1).

{x\%}={209}(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{370}{209}

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

\frac{x\%}{100\%}=\frac{209}{370}

\Rightarrow{x} = {56.49\%}

Therefore, {209} is {56.49\%} of {370}.

#### Solution for 370 is what percent of 209:

370:209*100 =

(370*100):209 =

37000:209 = 177.03

Now we have: 370 is what percent of 209 = 177.03

Question: 370 is what percent of 209?

Percentage solution with steps:

Step 1: We make the assumption that 209 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\%}={209}.

Step 4: In the same vein, {x\%}={370}.

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

{100\%}={209}(1).

{x\%}={370}(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{209}{370}

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

\frac{x\%}{100\%}=\frac{370}{209}

\Rightarrow{x} = {177.03\%}

Therefore, {370} is {177.03\%} of {209}.

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