#### Solution for 340 is what percent of 400:

340: 400*100 =

(340*100): 400 =

34000: 400 = 85

Now we have: 340 is what percent of 400 = 85

Question: 340 is what percent of 400?

Percentage solution with steps:

Step 1: We make the assumption that 400 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\%}={ 400}.

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

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

{100\%}={ 400}(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{ 400}{340}

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

\frac{x\%}{100\%}=\frac{340}{ 400}

\Rightarrow{x} = {85\%}

Therefore, {340} is {85\%} of { 400}.

#### Solution for 400 is what percent of 340:

400:340*100 =

( 400*100):340 =

40000:340 = 117.65

Now we have: 400 is what percent of 340 = 117.65

Question: 400 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\%}={ 400}.

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

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

{x\%}={ 400}(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}{ 400}

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

\frac{x\%}{100\%}=\frac{ 400}{340}

\Rightarrow{x} = {117.65\%}

Therefore, { 400} is {117.65\%} of {340}.

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