What is 69.96 percent of 13.45 - 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 13.45 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 13.45 is 100%, so we can write it down as 13.45=100%.
4. We know, that x is 69.96% of the output value, so we can write it down as x=69.96%.
5. Now we have two simple equations:
1) 13.45=100%
2) x=69.96%
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:
13.45/x=100%/69.96%
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 69.96% of 13.45

13.45/x=100/69.96
(13.45/x)*x=(100/69.96)*x       - we multiply both sides of the equation by x
13.45=1.4293882218411*x       - we divide both sides of the equation by (1.4293882218411) to get x
13.45/1.4293882218411=x
9.40962=x
x=9.40962

now we have:
69.96% of 13.45=9.40962