8.23 is what percent of 10.22 - 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 10.22 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 10.22, so we can write it down as 100%=10.22.
4. We know, that x% equals 8.23 of the output value, so we can write it down as x%=8.23.
5. Now we have two simple equations:
1) 100%=10.22
2) x%=8.23
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%=10.22/8.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.23 is what percent of 10.22

100%/x%=10.22/8.23
(100/x)*x=(10.22/8.23)*x       - we multiply both sides of the equation by x
100=1.2417982989064*x       - we divide both sides of the equation by (1.2417982989064) to get x
100/1.2417982989064=x
80.528375733855=x
x=80.528375733855

now we have:
8.23 is 80.528375733855% of 10.22