What is 120 percent of 75.8 - 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 75.8 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 75.8 is 100%, so we can write it down as 75.8=100%.
4. We know, that x is 120% of the output value, so we can write it down as x=120%.
5. Now we have two simple equations:
1) 75.8=100%
2) x=120%
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:
75.8/x=100%/120%
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 120% of 75.8

75.8/x=100/120
(75.8/x)*x=(100/120)*x       - we multiply both sides of the equation by x
75.8=0.83333333333333*x       - we divide both sides of the equation by (0.83333333333333) to get x
75.8/0.83333333333333=x
90.96=x
x=90.96

now we have:
120% of 75.8=90.96