What is 88.8 percent of 105.7 - 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 105.7 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 105.7 is 100%, so we can write it down as 105.7=100%.
4. We know, that x is 88.8% of the output value, so we can write it down as x=88.8%.
5. Now we have two simple equations:
1) 105.7=100%
2) x=88.8%
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:
105.7/x=100%/88.8%
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 88.8% of 105.7

105.7/x=100/88.8
(105.7/x)*x=(100/88.8)*x       - we multiply both sides of the equation by x
105.7=1.1261261261261*x       - we divide both sides of the equation by (1.1261261261261) to get x
105.7/1.1261261261261=x
93.8616=x
x=93.8616

now we have:
88.8% of 105.7=93.8616