Solution for 210 is what percent of 800:
210:800*100 =
(210*100):800 =
21000:800 = 26.25
Now we have: 210 is what percent of 800 = 26.25
Question: 210 is what percent of 800?
Percentage solution with steps:
Step 1: We make the assumption that 800 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\%}={800}.
Step 4: In the same vein, {x\%}={210}.
Step 5: This gives us a pair of simple equations:
{100\%}={800}(1).
{x\%}={210}(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{800}{210}
Step 7: Taking the inverse (or reciprocal) of both sides yields
\frac{x\%}{100\%}=\frac{210}{800}
\Rightarrow{x} = {26.25\%}
Therefore, {210} is {26.25\%} of {800}.
Solution for 800 is what percent of 210:
800:210*100 =
(800*100):210 =
80000:210 = 380.95
Now we have: 800 is what percent of 210 = 380.95
Question: 800 is what percent of 210?
Percentage solution with steps:
Step 1: We make the assumption that 210 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\%}={210}.
Step 4: In the same vein, {x\%}={800}.
Step 5: This gives us a pair of simple equations:
{100\%}={210}(1).
{x\%}={800}(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{210}{800}
Step 7: Taking the inverse (or reciprocal) of both sides yields
\frac{x\%}{100\%}=\frac{800}{210}
\Rightarrow{x} = {380.95\%}
Therefore, {800} is {380.95\%} of {210}.
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