#### Solution for 340 is what percent of 646:

340:646*100 =

(340*100):646 =

34000:646 = 52.63

Now we have: 340 is what percent of 646 = 52.63

Question: 340 is what percent of 646?

Percentage solution with steps:

Step 1: We make the assumption that 646 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\%}={646}.

Step 4: In the same vein, {x\%}={340}.

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

{100\%}={646}(1).

{x\%}={340}(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{646}{340}

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

\frac{x\%}{100\%}=\frac{340}{646}

\Rightarrow{x} = {52.63\%}

Therefore, {340} is {52.63\%} of {646}.

#### Solution for 646 is what percent of 340:

646:340*100 =

(646*100):340 =

64600:340 = 190

Now we have: 646 is what percent of 340 = 190

Question: 646 is what percent of 340?

Percentage solution with steps:

Step 1: We make the assumption that 340 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\%}={340}.

Step 4: In the same vein, {x\%}={646}.

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

{100\%}={340}(1).

{x\%}={646}(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{340}{646}

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

\frac{x\%}{100\%}=\frac{646}{340}

\Rightarrow{x} = {190\%}

Therefore, {646} is {190\%} of {340}.

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