Solution for 120 is what percent of 135:
120:135*100 =
(120*100):135 =
12000:135 = 88.89
Now we have: 120 is what percent of 135 = 88.89
Question: 120 is what percent of 135?
Percentage solution with steps:
Step 1: We make the assumption that 135 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\%}={135}.
Step 4: In the same vein, {x\%}={120}.
Step 5: This gives us a pair of simple equations:
{100\%}={135}(1).
{x\%}={120}(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{135}{120}
Step 7: Taking the inverse (or reciprocal) of both sides yields
\frac{x\%}{100\%}=\frac{120}{135}
\Rightarrow{x} = {88.89\%}
Therefore, {120} is {88.89\%} of {135}.
Solution for 135 is what percent of 120:
135:120*100 =
(135*100):120 =
13500:120 = 112.5
Now we have: 135 is what percent of 120 = 112.5
Question: 135 is what percent of 120?
Percentage solution with steps:
Step 1: We make the assumption that 120 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\%}={120}.
Step 4: In the same vein, {x\%}={135}.
Step 5: This gives us a pair of simple equations:
{100\%}={120}(1).
{x\%}={135}(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{120}{135}
Step 7: Taking the inverse (or reciprocal) of both sides yields
\frac{x\%}{100\%}=\frac{135}{120}
\Rightarrow{x} = {112.5\%}
Therefore, {135} is {112.5\%} of {120}.
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