What is 75 percent of 1159.42 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 1159.42 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 1159.42 is 100%, so we can write it down as 1159.42=100%.
4. We know, that x is 75% of the output value, so we can write it down as x=75%.
5. Now we have two simple equations:
1) 1159.42=100%
2) x=75%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
1159.42/x=100%/75%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 75% of 1159.42

1159.42/x=100/75
(1159.42/x)*x=(100/75)*x       - we multiply both sides of the equation by x
1159.42=1.3333333333333*x       - we divide both sides of the equation by (1.3333333333333) to get x
1159.42/1.3333333333333=x
869.565=x
x=869.565

now we have:
75% of 1159.42=869.565