What is 88.8888888889 percent of 0.0285 - 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 0.0285 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 0.0285 is 100%, so we can write it down as 0.0285=100%.
4. We know, that x is 88.8888888889% of the output value, so we can write it down as x=88.8888888889%.
5. Now we have two simple equations:
1) 0.0285=100%
2) x=88.8888888889%
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:
0.0285/x=100%/88.8888888889%
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 88.8888888889% of 0.0285

0.0285/x=100/88.8888888889
(0.0285/x)*x=(100/88.8888888889)*x       - we multiply both sides of the equation by x
0.0285=1.1249999999999*x       - we divide both sides of the equation by (1.1249999999999) to get x
0.0285/1.1249999999999=x
0.025333333333337=x
x=0.025333333333337

now we have:
88.8888888889% of 0.0285=0.025333333333337