#### Solution for 442 is what percent of 750:

442:750*100 =

(442*100):750 =

44200:750 = 58.93

Now we have: 442 is what percent of 750 = 58.93

Question: 442 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\%}={442}.

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

{100\%}={750}(1).

{x\%}={442}(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}{442}

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

\frac{x\%}{100\%}=\frac{442}{750}

\Rightarrow{x} = {58.93\%}

Therefore, {442} is {58.93\%} of {750}.

#### Solution for 750 is what percent of 442:

750:442*100 =

(750*100):442 =

75000:442 = 169.68

Now we have: 750 is what percent of 442 = 169.68

Question: 750 is what percent of 442?

Percentage solution with steps:

Step 1: We make the assumption that 442 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\%}={442}.

Step 4: In the same vein, {x\%}={750}.

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

{100\%}={442}(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{442}{750}

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

\frac{x\%}{100\%}=\frac{750}{442}

\Rightarrow{x} = {169.68\%}

Therefore, {750} is {169.68\%} of {442}.

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