#### Solution for 750 is what percent of 400:

750:400*100 =

(750*100):400 =

75000:400 = 187.5

Now we have: 750 is what percent of 400 = 187.5

Question: 750 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\%}={750}.

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

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

{x\%}={750}(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}{750}

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

\frac{x\%}{100\%}=\frac{750}{400}

\Rightarrow{x} = {187.5\%}

Therefore, {750} is {187.5\%} of {400}.

#### Solution for 400 is what percent of 750:

400:750*100 =

(400*100):750 =

40000:750 = 53.33

Now we have: 400 is what percent of 750 = 53.33

Question: 400 is what percent of 750?

Percentage solution with steps:

Step 1: We make the assumption that 750 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\%}={750}.

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

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

{100\%}={750}(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{750}{400}

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

\frac{x\%}{100\%}=\frac{400}{750}

\Rightarrow{x} = {53.33\%}

Therefore, {400} is {53.33\%} of {750}.

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