Solution for 138 is what percent of 400:
138:400*100 =
(138*100):400 =
13800:400 = 34.5
Now we have: 138 is what percent of 400 = 34.5
Question: 138 is what percent of 400?
Percentage solution with steps:
Step 1: We make the assumption that 400 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\%}={400}.
Step 4: In the same vein, {x\%}={138}.
Step 5: This gives us a pair of simple equations:
{100\%}={400}(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{400}{138}
Step 7: Taking the inverse (or reciprocal) of both sides yields
\frac{x\%}{100\%}=\frac{138}{400}
\Rightarrow{x} = {34.5\%}
Therefore, {138} is {34.5\%} of {400}.
Solution for 400 is what percent of 138:
400:138*100 =
(400*100):138 =
40000:138 = 289.86
Now we have: 400 is what percent of 138 = 289.86
Question: 400 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\%}={400}.
Step 5: This gives us a pair of simple equations:
{100\%}={138}(1).
{x\%}={400}(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}{400}
Step 7: Taking the inverse (or reciprocal) of both sides yields
\frac{x\%}{100\%}=\frac{400}{138}
\Rightarrow{x} = {289.86\%}
Therefore, {400} is {289.86\%} of {138}.
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