Solution for 500 is what percent of 1500:
500: 1500*100 =
(500*100): 1500 =
50000: 1500 = 33.33
Now we have: 500 is what percent of 1500 = 33.33
Question: 500 is what percent of 1500?
Percentage solution with steps:
Step 1: We make the assumption that 1500 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\%}={ 1500}.
Step 4: In the same vein, {x\%}={500}.
Step 5: This gives us a pair of simple equations:
{100\%}={ 1500}(1).
{x\%}={500}(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{ 1500}{500}
Step 7: Taking the inverse (or reciprocal) of both sides yields
\frac{x\%}{100\%}=\frac{500}{ 1500}
\Rightarrow{x} = {33.33\%}
Therefore, {500} is {33.33\%} of { 1500}.
Solution for 1500 is what percent of 500:
1500:500*100 =
( 1500*100):500 =
150000:500 = 300
Now we have: 1500 is what percent of 500 = 300
Question: 1500 is what percent of 500?
Percentage solution with steps:
Step 1: We make the assumption that 500 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\%}={500}.
Step 4: In the same vein, {x\%}={ 1500}.
Step 5: This gives us a pair of simple equations:
{100\%}={500}(1).
{x\%}={ 1500}(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{500}{ 1500}
Step 7: Taking the inverse (or reciprocal) of both sides yields
\frac{x\%}{100\%}=\frac{ 1500}{500}
\Rightarrow{x} = {300\%}
Therefore, { 1500} is {300\%} of {500}.
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