What is 69.16 percent of 69.83 - 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 69.83 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 69.83 is 100%, so we can write it down as 69.83=100%.
4. We know, that x is 69.16% of the output value, so we can write it down as x=69.16%.
5. Now we have two simple equations:
1) 69.83=100%
2) x=69.16%
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:
69.83/x=100%/69.16%
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 69.16% of 69.83

69.83/x=100/69.16
(69.83/x)*x=(100/69.16)*x       - we multiply both sides of the equation by x
69.83=1.4459224985541*x       - we divide both sides of the equation by (1.4459224985541) to get x
69.83/1.4459224985541=x
48.294428=x
x=48.294428

now we have:
69.16% of 69.83=48.294428