#### Solution for 145 is what percent of 172:

145:172*100 =

(145*100):172 =

14500:172 = 84.3

Now we have: 145 is what percent of 172 = 84.3

Question: 145 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\%}={145}.

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

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

{x\%}={145}(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}{145}

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

\frac{x\%}{100\%}=\frac{145}{172}

\Rightarrow{x} = {84.3\%}

Therefore, {145} is {84.3\%} of {172}.

#### Solution for 172 is what percent of 145:

172:145*100 =

(172*100):145 =

17200:145 = 118.62

Now we have: 172 is what percent of 145 = 118.62

Question: 172 is what percent of 145?

Percentage solution with steps:

Step 1: We make the assumption that 145 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\%}={145}.

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

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

{100\%}={145}(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{145}{172}

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

\frac{x\%}{100\%}=\frac{172}{145}

\Rightarrow{x} = {118.62\%}

Therefore, {172} is {118.62\%} of {145}.

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