#### Solution for 14.4 is what percent of 172:

14.4:172*100 =

(14.4*100):172 =

1440:172 = 8.3720930232558

Now we have: 14.4 is what percent of 172 = 8.3720930232558

Question: 14.4 is what percent of 172?

Percentage solution with steps:

Step 1: We make the assumption that 172 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\%}={172}.

Step 4: In the same vein, {x\%}={14.4}.

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

{100\%}={172}(1).

{x\%}={14.4}(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{172}{14.4}

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

\frac{x\%}{100\%}=\frac{14.4}{172}

\Rightarrow{x} = {8.3720930232558\%}

Therefore, {14.4} is {8.3720930232558\%} of {172}.

#### Solution for 172 is what percent of 14.4:

172:14.4*100 =

(172*100):14.4 =

17200:14.4 = 1194.4444444444

Now we have: 172 is what percent of 14.4 = 1194.4444444444

Question: 172 is what percent of 14.4?

Percentage solution with steps:

Step 1: We make the assumption that 14.4 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\%}={14.4}.

Step 4: In the same vein, {x\%}={172}.

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

{100\%}={14.4}(1).

{x\%}={172}(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{14.4}{172}

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

\frac{x\%}{100\%}=\frac{172}{14.4}

\Rightarrow{x} = {1194.4444444444\%}

Therefore, {172} is {1194.4444444444\%} of {14.4}.

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