What is 959.3 percent of 1.02 - 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 1.02 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 1.02 is 100%, so we can write it down as 1.02=100%.
4. We know, that x is 959.3% of the output value, so we can write it down as x=959.3%.
5. Now we have two simple equations:
1) 1.02=100%
2) x=959.3%
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:
1.02/x=100%/959.3%
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 959.3% of 1.02

1.02/x=100/959.3
(1.02/x)*x=(100/959.3)*x       - we multiply both sides of the equation by x
1.02=0.10424267695194*x       - we divide both sides of the equation by (0.10424267695194) to get x
1.02/0.10424267695194=x
9.78486=x
x=9.78486

now we have:
959.3% of 1.02=9.78486