#### Solution for 293.5 is what percent of 400:

293.5: 400*100 =

( 293.5*100): 400 =

29350: 400 = 73.375

Now we have: 293.5 is what percent of 400 = 73.375

Question: 293.5 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\%}={ 293.5}.

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

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

{x\%}={ 293.5}(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}{ 293.5}

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

\frac{x\%}{100\%}=\frac{ 293.5}{ 400}

\Rightarrow{x} = {73.375\%}

Therefore, { 293.5} is {73.375\%} of { 400}.

#### Solution for 400 is what percent of 293.5:

400: 293.5*100 =

( 400*100): 293.5 =

40000: 293.5 = 136.28620102215

Now we have: 400 is what percent of 293.5 = 136.28620102215

Question: 400 is what percent of 293.5?

Percentage solution with steps:

Step 1: We make the assumption that 293.5 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\%}={ 293.5}.

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

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

{100\%}={ 293.5}(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{ 293.5}{ 400}

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

\frac{x\%}{100\%}=\frac{ 400}{ 293.5}

\Rightarrow{x} = {136.28620102215\%}

Therefore, { 400} is {136.28620102215\%} of { 293.5}.

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