What is 975 percent of 0.975 - 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 0.975 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 0.975 is 100%, so we can write it down as 0.975=100%.
4. We know, that x is 975% of the output value, so we can write it down as x=975%.
5. Now we have two simple equations:
1) 0.975=100%
2) x=975%
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:
0.975/x=100%/975%
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 975% of 0.975

0.975/x=100/975
(0.975/x)*x=(100/975)*x       - we multiply both sides of the equation by x
0.975=0.1025641025641*x       - we divide both sides of the equation by (0.1025641025641) to get x
0.975/0.1025641025641=x
9.50625=x
x=9.50625

now we have:
975% of 0.975=9.50625