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Solution for 46 is what percent of 48:

46:48*100 =

(46*100):48 =

4600:48 = 95.83

Now we have: 46 is what percent of 48 = 95.83

Question: 46 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\%}={46}.

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

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

{x\%}={46}(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}{46}

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

\frac{x\%}{100\%}=\frac{46}{48}

\Rightarrow{x} = {95.83\%}

Therefore, {46} is {95.83\%} of {48}.

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Solution for 48 is what percent of 46:

48:46*100 =

(48*100):46 =

4800:46 = 104.35

Now we have: 48 is what percent of 46 = 104.35

Question: 48 is what percent of 46?

Percentage solution with steps:

Step 1: We make the assumption that 46 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\%}={46}.

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

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

{100\%}={46}(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{46}{48}

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

\frac{x\%}{100\%}=\frac{48}{46}

\Rightarrow{x} = {104.35\%}

Therefore, {48} is {104.35\%} of {46}.