84.6 is what percent of 216.986 - 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 216.986 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 216.986, so we can write it down as 100%=216.986.
4. We know, that x% equals 84.6 of the output value, so we can write it down as x%=84.6.
5. Now we have two simple equations:
1) 100%=216.986
2) x%=84.6
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%=216.986/84.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 84.6 is what percent of 216.986

100%/x%=216.986/84.6
(100/x)*x=(216.986/84.6)*x       - we multiply both sides of the equation by x
100=2.5648463356974*x       - we divide both sides of the equation by (2.5648463356974) to get x
100/2.5648463356974=x
38.988690514595=x
x=38.988690514595

now we have:
84.6 is 38.988690514595% of 216.986