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Solution for 120.00 is what percent of 46:

120.00:46*100 =

(120.00*100):46 =

12000:46 = 260.86956521739

Now we have: 120.00 is what percent of 46 = 260.86956521739

Question: 120.00 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\%}={120.00}.

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

{100\%}={46}(1).

{x\%}={120.00}(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{46}{120.00}

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

\frac{x\%}{100\%}=\frac{120.00}{46}

\Rightarrow{x} = {260.86956521739\%}

Therefore, {120.00} is {260.86956521739\%} of {46}.

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Solution for 46 is what percent of 120.00:

46:120.00*100 =

(46*100):120.00 =

4600:120.00 = 38.333333333333

Now we have: 46 is what percent of 120.00 = 38.333333333333

Question: 46 is what percent of 120.00?

Percentage solution with steps:

Step 1: We make the assumption that 120.00 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\%}={120.00}.

Step 4: In the same vein, {x\%}={46}.

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

{100\%}={120.00}(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{120.00}{46}

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

\frac{x\%}{100\%}=\frac{46}{120.00}

\Rightarrow{x} = {38.333333333333\%}

Therefore, {46} is {38.333333333333\%} of {120.00}.