What is 113.6 percent of 142 - 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 142 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 142 is 100%, so we can write it down as 142=100%.
4. We know, that x is 113.6% of the output value, so we can write it down as x=113.6%.
5. Now we have two simple equations:
1) 142=100%
2) x=113.6%
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:
142/x=100%/113.6%
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 113.6% of 142

142/x=100/113.6
(142/x)*x=(100/113.6)*x       - we multiply both sides of the equation by x
142=0.88028169014085*x       - we divide both sides of the equation by (0.88028169014085) to get x
142/0.88028169014085=x
161.312=x
x=161.312

now we have:
113.6% of 142=161.312