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Solution for 35.5 is what percent of 46:

35.5:46*100 =

(35.5*100):46 =

3550:46 = 77.173913043478

Now we have: 35.5 is what percent of 46 = 77.173913043478

Question: 35.5 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\%}={35.5}.

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

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

{x\%}={35.5}(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}{35.5}

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

\frac{x\%}{100\%}=\frac{35.5}{46}

\Rightarrow{x} = {77.173913043478\%}

Therefore, {35.5} is {77.173913043478\%} of {46}.

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Solution for 46 is what percent of 35.5:

46:35.5*100 =

(46*100):35.5 =

4600:35.5 = 129.57746478873

Now we have: 46 is what percent of 35.5 = 129.57746478873

Question: 46 is what percent of 35.5?

Percentage solution with steps:

Step 1: We make the assumption that 35.5 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\%}={35.5}.

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

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

{100\%}={35.5}(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{35.5}{46}

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

\frac{x\%}{100\%}=\frac{46}{35.5}

\Rightarrow{x} = {129.57746478873\%}

Therefore, {46} is {129.57746478873\%} of {35.5}.