83.6 is what percent of 566 - 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 566 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 566, so we can write it down as 100%=566.
4. We know, that x% equals 83.6 of the output value, so we can write it down as x%=83.6.
5. Now we have two simple equations:
1) 100%=566
2) x%=83.6
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%=566/83.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 83.6 is what percent of 566

100%/x%=566/83.6
(100/x)*x=(566/83.6)*x       - we multiply both sides of the equation by x
100=6.7703349282297*x       - we divide both sides of the equation by (6.7703349282297) to get x
100/6.7703349282297=x
14.770318021201=x
x=14.770318021201

now we have:
83.6 is 14.770318021201% of 566