83.64 is what percent of 104.69 - 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 104.69 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 100% equals 104.69, so we can write it down as 100%=104.69.
4. We know, that x% equals 83.64 of the output value, so we can write it down as x%=83.64.
5. Now we have two simple equations:
1) 100%=104.69
2) x%=83.64
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:
100%/x%=104.69/83.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 83.64 is what percent of 104.69

100%/x%=104.69/83.64
(100/x)*x=(104.69/83.64)*x       - we multiply both sides of the equation by x
100=1.2516738402678*x       - we divide both sides of the equation by (1.2516738402678) to get x
100/1.2516738402678=x
79.89301748018=x
x=79.89301748018

now we have:
83.64 is 79.89301748018% of 104.69