84 is what percent of 106.121 - 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 106.121 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 106.121, so we can write it down as 100%=106.121.
4. We know, that x% equals 84 of the output value, so we can write it down as x%=84.
5. Now we have two simple equations:
1) 100%=106.121
2) x%=84
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%=106.121/84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 84 is what percent of 106.121

100%/x%=106.121/84
(100/x)*x=(106.121/84)*x       - we multiply both sides of the equation by x
100=1.2633452380952*x       - we divide both sides of the equation by (1.2633452380952) to get x
100/1.2633452380952=x
79.154926923041=x
x=79.154926923041

now we have:
84 is 79.154926923041% of 106.121