What is 88.5 percent of 100.2 - 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 100.2 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 100.2 is 100%, so we can write it down as 100.2=100%.
4. We know, that x is 88.5% of the output value, so we can write it down as x=88.5%.
5. Now we have two simple equations:
1) 100.2=100%
2) x=88.5%
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:
100.2/x=100%/88.5%
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 88.5% of 100.2

100.2/x=100/88.5
(100.2/x)*x=(100/88.5)*x       - we multiply both sides of the equation by x
100.2=1.1299435028249*x       - we divide both sides of the equation by (1.1299435028249) to get x
100.2/1.1299435028249=x
88.677=x
x=88.677

now we have:
88.5% of 100.2=88.677