What is 1.025 percent of 9.79 - 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 9.79 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 9.79 is 100%, so we can write it down as 9.79=100%.
4. We know, that x is 1.025% of the output value, so we can write it down as x=1.025%.
5. Now we have two simple equations:
1) 9.79=100%
2) x=1.025%
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:
9.79/x=100%/1.025%
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 1.025% of 9.79

9.79/x=100/1.025
(9.79/x)*x=(100/1.025)*x       - we multiply both sides of the equation by x
9.79=97.560975609756*x       - we divide both sides of the equation by (97.560975609756) to get x
9.79/97.560975609756=x
0.1003475=x
x=0.1003475

now we have:
1.025% of 9.79=0.1003475