Question
Solve the equation
x=12200
Evaluate
1600−1×x%=1478
Simplify
More Steps

Evaluate
1600−1×x%
Calculate
More Steps

Evaluate
x%
By definition p%=p×0.01
x×0.01
Use the commutative property to reorder the terms
0.01x
1600−1×0.01x
Any expression multiplied by 1 remains the same
1600−0.01x
1600−0.01x=1478
Move the constant to the right-hand side and change its sign
−0.01x=1478−1600
Subtract the numbers
−0.01x=−122
Change the signs on both sides of the equation
0.01x=122
Divide both sides
0.010.01x=0.01122
Divide the numbers
x=0.01122
Solution
More Steps

Evaluate
0.01122
Convert the decimal into a fraction
1001122
Multiply by the reciprocal
122×100
Multiply the numbers
12200
x=12200
Show Solution

Rewrite the equation
x=12200
Evaluate
1600−1×x%=1478
Evaluate
More Steps

Evaluate
1600−1×x%
Calculate
More Steps

Evaluate
x%
By definition p%=p×0.01
x×0.01
Use the commutative property to reorder the terms
0.01x
1600−1×0.01x
Any expression multiplied by 1 remains the same
1600−0.01x
1600−0.01x=1478
Convert the decimal into a fraction
1600−1001x=1478
Multiply both sides of the equation by LCD
160000−x=147800
Move the constant to the right side
−x=−12200
Solution
x=12200
Show Solution
