#### Solution for 143 is what percent of 309:

143:309*100 =

(143*100):309 =

14300:309 = 46.28

Now we have: 143 is what percent of 309 = 46.28

Question: 143 is what percent of 309?

Percentage solution with steps:

Step 1: We make the assumption that 309 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\%}={309}.

Step 4: In the same vein, {x\%}={143}.

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

{100\%}={309}(1).

{x\%}={143}(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{309}{143}

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

\frac{x\%}{100\%}=\frac{143}{309}

\Rightarrow{x} = {46.28\%}

Therefore, {143} is {46.28\%} of {309}.

#### Solution for 309 is what percent of 143:

309:143*100 =

(309*100):143 =

30900:143 = 216.08

Now we have: 309 is what percent of 143 = 216.08

Question: 309 is what percent of 143?

Percentage solution with steps:

Step 1: We make the assumption that 143 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\%}={143}.

Step 4: In the same vein, {x\%}={309}.

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

{100\%}={143}(1).

{x\%}={309}(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{143}{309}

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

\frac{x\%}{100\%}=\frac{309}{143}

\Rightarrow{x} = {216.08\%}

Therefore, {309} is {216.08\%} of {143}.

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