84.2 is what percent of 1211 - 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 1211 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 1211, so we can write it down as 100%=1211.
4. We know, that x% equals 84.2 of the output value, so we can write it down as x%=84.2.
5. Now we have two simple equations:
1) 100%=1211
2) x%=84.2
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%=1211/84.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 84.2 is what percent of 1211

100%/x%=1211/84.2
(100/x)*x=(1211/84.2)*x       - we multiply both sides of the equation by x
100=14.38242280285*x       - we divide both sides of the equation by (14.38242280285) to get x
100/14.38242280285=x
6.952931461602=x
x=6.952931461602

now we have:
84.2 is 6.952931461602% of 1211