#### Solution for 500 is what percent of 146:

500:146*100 =

(500*100):146 =

50000:146 = 342.47

Now we have: 500 is what percent of 146 = 342.47

Question: 500 is what percent of 146?

Percentage solution with steps:

Step 1: We make the assumption that 146 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\%}={146}.

Step 4: In the same vein, {x\%}={500}.

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

{100\%}={146}(1).

{x\%}={500}(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{146}{500}

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

\frac{x\%}{100\%}=\frac{500}{146}

\Rightarrow{x} = {342.47\%}

Therefore, {500} is {342.47\%} of {146}.

#### Solution for 146 is what percent of 500:

146:500*100 =

(146*100):500 =

14600:500 = 29.2

Now we have: 146 is what percent of 500 = 29.2

Question: 146 is what percent of 500?

Percentage solution with steps:

Step 1: We make the assumption that 500 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\%}={500}.

Step 4: In the same vein, {x\%}={146}.

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

{100\%}={500}(1).

{x\%}={146}(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{500}{146}

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

\frac{x\%}{100\%}=\frac{146}{500}

\Rightarrow{x} = {29.2\%}

Therefore, {146} is {29.2\%} of {500}.

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