#### Solution for 340 is what percent of 3400:

340:3400*100 =

(340*100):3400 =

34000:3400 = 10

Now we have: 340 is what percent of 3400 = 10

Question: 340 is what percent of 3400?

Percentage solution with steps:

Step 1: We make the assumption that 3400 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\%}={3400}.

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

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

{100\%}={3400}(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{3400}{340}

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

\frac{x\%}{100\%}=\frac{340}{3400}

\Rightarrow{x} = {10\%}

Therefore, {340} is {10\%} of {3400}.

#### Solution for 3400 is what percent of 340:

3400:340*100 =

(3400*100):340 =

340000:340 = 1000

Now we have: 3400 is what percent of 340 = 1000

Question: 3400 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\%}={3400}.

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

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

{x\%}={3400}(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}{3400}

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

\frac{x\%}{100\%}=\frac{3400}{340}

\Rightarrow{x} = {1000\%}

Therefore, {3400} is {1000\%} of {340}.

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