6.62 is what percent of 22.82 - 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 22.82 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 22.82, so we can write it down as 100%=22.82.
4. We know, that x% equals 6.62 of the output value, so we can write it down as x%=6.62.
5. Now we have two simple equations:
1) 100%=22.82
2) x%=6.62
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%=22.82/6.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.62 is what percent of 22.82

100%/x%=22.82/6.62
(100/x)*x=(22.82/6.62)*x       - we multiply both sides of the equation by x
100=3.4471299093656*x       - we divide both sides of the equation by (3.4471299093656) to get x
100/3.4471299093656=x
29.009640666082=x
x=29.009640666082

now we have:
6.62 is 29.009640666082% of 22.82