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Solution for 67 is what percent of 46:

67:46*100 =

(67*100):46 =

6700:46 = 145.65

Now we have: 67 is what percent of 46 = 145.65

Question: 67 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\%}={67}.

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

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

{x\%}={67}(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}{67}

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

\frac{x\%}{100\%}=\frac{67}{46}

\Rightarrow{x} = {145.65\%}

Therefore, {67} is {145.65\%} of {46}.

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Solution for 46 is what percent of 67:

46:67*100 =

(46*100):67 =

4600:67 = 68.66

Now we have: 46 is what percent of 67 = 68.66

Question: 46 is what percent of 67?

Percentage solution with steps:

Step 1: We make the assumption that 67 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\%}={67}.

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

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

{100\%}={67}(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{67}{46}

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

\frac{x\%}{100\%}=\frac{46}{67}

\Rightarrow{x} = {68.66\%}

Therefore, {46} is {68.66\%} of {67}.