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Solution for 359 is what percent of 48:

359:48*100 =

(359*100):48 =

35900:48 = 747.92

Now we have: 359 is what percent of 48 = 747.92

Question: 359 is what percent of 48?

Percentage solution with steps:

Step 1: We make the assumption that 48 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\%}={48}.

Step 4: In the same vein, {x\%}={359}.

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

{100\%}={48}(1).

{x\%}={359}(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{48}{359}

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

\frac{x\%}{100\%}=\frac{359}{48}

\Rightarrow{x} = {747.92\%}

Therefore, {359} is {747.92\%} of {48}.

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• 359 is what percent of 48 = 747.92
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Solution for 48 is what percent of 359:

48:359*100 =

(48*100):359 =

4800:359 = 13.37

Now we have: 48 is what percent of 359 = 13.37

Question: 48 is what percent of 359?

Percentage solution with steps:

Step 1: We make the assumption that 359 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\%}={359}.

Step 4: In the same vein, {x\%}={48}.

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

{100\%}={359}(1).

{x\%}={48}(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{359}{48}

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

\frac{x\%}{100\%}=\frac{48}{359}

\Rightarrow{x} = {13.37\%}

Therefore, {48} is {13.37\%} of {359}.