#### Solution for 62 is what percent of 180:

62:180*100 =

(62*100):180 =

6200:180 = 34.44

Now we have: 62 is what percent of 180 = 34.44

Question: 62 is what percent of 180?

Percentage solution with steps:

Step 1: We make the assumption that 180 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\%}={180}.

Step 4: In the same vein, {x\%}={62}.

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

{100\%}={180}(1).

{x\%}={62}(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{180}{62}

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

\frac{x\%}{100\%}=\frac{62}{180}

\Rightarrow{x} = {34.44\%}

Therefore, {62} is {34.44\%} of {180}.

#### Solution for 180 is what percent of 62:

180:62*100 =

(180*100):62 =

18000:62 = 290.32

Now we have: 180 is what percent of 62 = 290.32

Question: 180 is what percent of 62?

Percentage solution with steps:

Step 1: We make the assumption that 62 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\%}={62}.

Step 4: In the same vein, {x\%}={180}.

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

{100\%}={62}(1).

{x\%}={180}(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{62}{180}

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

\frac{x\%}{100\%}=\frac{180}{62}

\Rightarrow{x} = {290.32\%}

Therefore, {180} is {290.32\%} of {62}.

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