#### Solution for 46 is what percent of 1450:

46:1450*100 =

(46*100):1450 =

4600:1450 = 3.17

Now we have: 46 is what percent of 1450 = 3.17

Question: 46 is what percent of 1450?

Percentage solution with steps:

Step 1: We make the assumption that 1450 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\%}={1450}.

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

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

{100\%}={1450}(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{1450}{46}

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

\frac{x\%}{100\%}=\frac{46}{1450}

\Rightarrow{x} = {3.17\%}

Therefore, {46} is {3.17\%} of {1450}.

#### Solution for 1450 is what percent of 46:

1450:46*100 =

(1450*100):46 =

145000:46 = 3152.17

Now we have: 1450 is what percent of 46 = 3152.17

Question: 1450 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\%}={1450}.

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

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

{x\%}={1450}(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}{1450}

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

\frac{x\%}{100\%}=\frac{1450}{46}

\Rightarrow{x} = {3152.17\%}

Therefore, {1450} is {3152.17\%} of {46}.

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