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Solution for 30.00 is what percent of 48:

30.00:48*100 =

(30.00*100):48 =

3000:48 = 62.5

Now we have: 30.00 is what percent of 48 = 62.5

Question: 30.00 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\%}={30.00}.

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

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

{x\%}={30.00}(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}{30.00}

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

\frac{x\%}{100\%}=\frac{30.00}{48}

\Rightarrow{x} = {62.5\%}

Therefore, {30.00} is {62.5\%} of {48}.

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Solution for 48 is what percent of 30.00:

48:30.00*100 =

(48*100):30.00 =

4800:30.00 = 160

Now we have: 48 is what percent of 30.00 = 160

Question: 48 is what percent of 30.00?

Percentage solution with steps:

Step 1: We make the assumption that 30.00 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\%}={30.00}.

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

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

{100\%}={30.00}(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{30.00}{48}

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

\frac{x\%}{100\%}=\frac{48}{30.00}

\Rightarrow{x} = {160\%}

Therefore, {48} is {160\%} of {30.00}.