What is 75.15 percent of 0.876 - 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 0.876 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 0.876 is 100%, so we can write it down as 0.876=100%.
4. We know, that x is 75.15% of the output value, so we can write it down as x=75.15%.
5. Now we have two simple equations:
1) 0.876=100%
2) x=75.15%
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:
0.876/x=100%/75.15%
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 75.15% of 0.876

0.876/x=100/75.15
(0.876/x)*x=(100/75.15)*x       - we multiply both sides of the equation by x
0.876=1.3306719893546*x       - we divide both sides of the equation by (1.3306719893546) to get x
0.876/1.3306719893546=x
0.658314=x
x=0.658314

now we have:
75.15% of 0.876=0.658314