Solution for 420 is what percent of 600:
420:600*100 =
(420*100):600 =
42000:600 = 70
Now we have: 420 is what percent of 600 = 70
Question: 420 is what percent of 600?
Percentage solution with steps:
Step 1: We make the assumption that 600 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\%}={600}.
Step 4: In the same vein, {x\%}={420}.
Step 5: This gives us a pair of simple equations:
{100\%}={600}(1).
{x\%}={420}(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{600}{420}
Step 7: Taking the inverse (or reciprocal) of both sides yields
\frac{x\%}{100\%}=\frac{420}{600}
\Rightarrow{x} = {70\%}
Therefore, {420} is {70\%} of {600}.
Solution for 600 is what percent of 420:
600:420*100 =
(600*100):420 =
60000:420 = 142.86
Now we have: 600 is what percent of 420 = 142.86
Question: 600 is what percent of 420?
Percentage solution with steps:
Step 1: We make the assumption that 420 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\%}={420}.
Step 4: In the same vein, {x\%}={600}.
Step 5: This gives us a pair of simple equations:
{100\%}={420}(1).
{x\%}={600}(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{420}{600}
Step 7: Taking the inverse (or reciprocal) of both sides yields
\frac{x\%}{100\%}=\frac{600}{420}
\Rightarrow{x} = {142.86\%}
Therefore, {600} is {142.86\%} of {420}.
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