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Solution for 86.25 is what percent of 46:

86.25:46*100 =

(86.25*100):46 =

8625:46 = 187.5

Now we have: 86.25 is what percent of 46 = 187.5

Question: 86.25 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\%}={86.25}.

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

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

{x\%}={86.25}(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}{86.25}

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

\frac{x\%}{100\%}=\frac{86.25}{46}

\Rightarrow{x} = {187.5\%}

Therefore, {86.25} is {187.5\%} of {46}.

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• 86.25 is what percent of 100 = 86.25

Solution for 46 is what percent of 86.25:

46:86.25*100 =

(46*100):86.25 =

4600:86.25 = 53.333333333333

Now we have: 46 is what percent of 86.25 = 53.333333333333

Question: 46 is what percent of 86.25?

Percentage solution with steps:

Step 1: We make the assumption that 86.25 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\%}={86.25}.

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

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

{100\%}={86.25}(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{86.25}{46}

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

\frac{x\%}{100\%}=\frac{46}{86.25}

\Rightarrow{x} = {53.333333333333\%}

Therefore, {46} is {53.333333333333\%} of {86.25}.