Percent Differential
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PERCENTAGES
Review of Introductory Mathematics
Express 1200% in decimal form.
1200
100
12
Percent
Differential
Percent differentials are used to provide a means of comparing changes in quantities or amounts.
Percent differentials express the relationship between some initial condition and another specified
condition.
The method of calculating percent differential involves the following:
Step 1:
Subtract the original value from the present value.
Step 2:
Divide by the original value.
Step 3:
Multiply by 100.
Step 4:
Add the percent symbol (%).
Example:
A tank initially contains 50 gallons of water. Five gallons are drained out. By what
percent is the amount of water in the tank reduced?
Solution:
Step 1:
The difference between initial and final is given in the problem: 5 gallons.
Step 2:
= 0.1
5
50
Step 3:
0.1 x 100 = 10% Five gallons represents 10% of the original 50 gals that
were in the tank.
MA-01
Page 58
Rev. 0
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