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Solution for 295 is what percent of 400:

295: 400*100 =

(295*100): 400 =

29500: 400 = 73.75

Now we have: 295 is what percent of 400 = 73.75

Question: 295 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\%}={295}.

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

{100\%}={ 400}(1).

{x\%}={295}(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}{295}

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

\frac{x\%}{100\%}=\frac{295}{ 400}

\Rightarrow{x} = {73.75\%}

Therefore, {295} is {73.75\%} of { 400}.

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Solution for 400 is what percent of 295:

400:295*100 =

( 400*100):295 =

40000:295 = 135.59

Now we have: 400 is what percent of 295 = 135.59

Question: 400 is what percent of 295?

Percentage solution with steps:

Step 1: We make the assumption that 295 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\%}={295}.

Step 4: In the same vein, {x\%}={ 400}.

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

{100\%}={295}(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{295}{ 400}

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

\frac{x\%}{100\%}=\frac{ 400}{295}

\Rightarrow{x} = {135.59\%}

Therefore, { 400} is {135.59\%} of {295}.