#### Solution for 54 is what percent of 172:

54:172*100 =

(54*100):172 =

5400:172 = 31.4

Now we have: 54 is what percent of 172 = 31.4

Question: 54 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\%}={54}.

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

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

{x\%}={54}(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}{54}

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

\frac{x\%}{100\%}=\frac{54}{172}

\Rightarrow{x} = {31.4\%}

Therefore, {54} is {31.4\%} of {172}.

#### Solution for 172 is what percent of 54:

172:54*100 =

(172*100):54 =

17200:54 = 318.52

Now we have: 172 is what percent of 54 = 318.52

Question: 172 is what percent of 54?

Percentage solution with steps:

Step 1: We make the assumption that 54 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\%}={54}.

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

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

{100\%}={54}(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{54}{172}

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

\frac{x\%}{100\%}=\frac{172}{54}

\Rightarrow{x} = {318.52\%}

Therefore, {172} is {318.52\%} of {54}.

Calculation Samples