#### Solution for 51 is what percent of 172:

51:172*100 =

(51*100):172 =

5100:172 = 29.65

Now we have: 51 is what percent of 172 = 29.65

Question: 51 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\%}={51}.

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

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

{x\%}={51}(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}{51}

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

\frac{x\%}{100\%}=\frac{51}{172}

\Rightarrow{x} = {29.65\%}

Therefore, {51} is {29.65\%} of {172}.

#### Solution for 172 is what percent of 51:

172:51*100 =

(172*100):51 =

17200:51 = 337.25

Now we have: 172 is what percent of 51 = 337.25

Question: 172 is what percent of 51?

Percentage solution with steps:

Step 1: We make the assumption that 51 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\%}={51}.

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

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

{100\%}={51}(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{51}{172}

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

\frac{x\%}{100\%}=\frac{172}{51}

\Rightarrow{x} = {337.25\%}

Therefore, {172} is {337.25\%} of {51}.

Calculation Samples