What is 64 percent of 112 - 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 112 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 112 is 100%, so we can write it down as 112=100%.
4. We know, that x is 64% of the output value, so we can write it down as x=64%.
5. Now we have two simple equations:
1) 112=100%
2) x=64%
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:
112/x=100%/64%
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 64% of 112

112/x=100/64
(112/x)*x=(100/64)*x       - we multiply both sides of the equation by x
112=1.5625*x       - we divide both sides of the equation by (1.5625) to get x
112/1.5625=x
71.68=x
x=71.68

now we have:
64% of 112=71.68