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Solution for 145 is what percent of 46:

145:46*100 =

(145*100):46 =

14500:46 = 315.22

Now we have: 145 is what percent of 46 = 315.22

Question: 145 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\%}={145}.

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

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

{x\%}={145}(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}{145}

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

\frac{x\%}{100\%}=\frac{145}{46}

\Rightarrow{x} = {315.22\%}

Therefore, {145} is {315.22\%} of {46}.

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Solution for 46 is what percent of 145:

46:145*100 =

(46*100):145 =

4600:145 = 31.72

Now we have: 46 is what percent of 145 = 31.72

Question: 46 is what percent of 145?

Percentage solution with steps:

Step 1: We make the assumption that 145 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\%}={145}.

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

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

{100\%}={145}(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{145}{46}

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

\frac{x\%}{100\%}=\frac{46}{145}

\Rightarrow{x} = {31.72\%}

Therefore, {46} is {31.72\%} of {145}.