Solution for 300 is what percent of 500:
300: 500*100 =
(300*100): 500 =
30000: 500 = 60
Now we have: 300 is what percent of 500 = 60
Question: 300 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\%}={300}.
Step 5: This gives us a pair of simple equations:
{100\%}={ 500}(1).
{x\%}={300}(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}{300}
Step 7: Taking the inverse (or reciprocal) of both sides yields
\frac{x\%}{100\%}=\frac{300}{ 500}
\Rightarrow{x} = {60\%}
Therefore, {300} is {60\%} of { 500}.
Solution for 500 is what percent of 300:
500:300*100 =
( 500*100):300 =
50000:300 = 166.67
Now we have: 500 is what percent of 300 = 166.67
Question: 500 is what percent of 300?
Percentage solution with steps:
Step 1: We make the assumption that 300 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\%}={300}.
Step 4: In the same vein, {x\%}={ 500}.
Step 5: This gives us a pair of simple equations:
{100\%}={300}(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{300}{ 500}
Step 7: Taking the inverse (or reciprocal) of both sides yields
\frac{x\%}{100\%}=\frac{ 500}{300}
\Rightarrow{x} = {166.67\%}
Therefore, { 500} is {166.67\%} of {300}.
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