#### Solution for 138 is what percent of 2180:

138:2180*100 =

(138*100):2180 =

13800:2180 = 6.33

Now we have: 138 is what percent of 2180 = 6.33

Question: 138 is what percent of 2180?

Percentage solution with steps:

Step 1: We make the assumption that 2180 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\%}={2180}.

Step 4: In the same vein, {x\%}={138}.

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

{100\%}={2180}(1).

{x\%}={138}(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{2180}{138}

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

\frac{x\%}{100\%}=\frac{138}{2180}

\Rightarrow{x} = {6.33\%}

Therefore, {138} is {6.33\%} of {2180}.

#### Solution for 2180 is what percent of 138:

2180:138*100 =

(2180*100):138 =

218000:138 = 1579.71

Now we have: 2180 is what percent of 138 = 1579.71

Question: 2180 is what percent of 138?

Percentage solution with steps:

Step 1: We make the assumption that 138 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\%}={138}.

Step 4: In the same vein, {x\%}={2180}.

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

{100\%}={138}(1).

{x\%}={2180}(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{138}{2180}

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

\frac{x\%}{100\%}=\frac{2180}{138}

\Rightarrow{x} = {1579.71\%}

Therefore, {2180} is {1579.71\%} of {138}.

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