What is 0.8775 percent of 0.97 - 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 0.97 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 0.97 is 100%, so we can write it down as 0.97=100%.
4. We know, that x is 0.8775% of the output value, so we can write it down as x=0.8775%.
5. Now we have two simple equations:
1) 0.97=100%
2) x=0.8775%
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:
0.97/x=100%/0.8775%
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 0.8775% of 0.97

0.97/x=100/0.8775
(0.97/x)*x=(100/0.8775)*x       - we multiply both sides of the equation by x
0.97=113.96011396011*x       - we divide both sides of the equation by (113.96011396011) to get x
0.97/113.96011396011=x
0.00851175=x
x=0.00851175

now we have:
0.8775% of 0.97=0.00851175