What is 7900 percent of 9.7 - 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 9.7 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 9.7 is 100%, so we can write it down as 9.7=100%.
4. We know, that x is 7900% of the output value, so we can write it down as x=7900%.
5. Now we have two simple equations:
1) 9.7=100%
2) x=7900%
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:
9.7/x=100%/7900%
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 7900% of 9.7

9.7/x=100/7900
(9.7/x)*x=(100/7900)*x       - we multiply both sides of the equation by x
9.7=0.012658227848101*x       - we divide both sides of the equation by (0.012658227848101) to get x
9.7/0.012658227848101=x
766.3=x
x=766.3

now we have:
7900% of 9.7=766.3