83.99 is what percent of 119.88 - 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 119.88 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 119.88, so we can write it down as 100%=119.88.
4. We know, that x% equals 83.99 of the output value, so we can write it down as x%=83.99.
5. Now we have two simple equations:
1) 100%=119.88
2) x%=83.99
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%=119.88/83.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 83.99 is what percent of 119.88

100%/x%=119.88/83.99
(100/x)*x=(119.88/83.99)*x       - we multiply both sides of the equation by x
100=1.4273127753304*x       - we divide both sides of the equation by (1.4273127753304) to get x
100/1.4273127753304=x
70.061728395062=x
x=70.061728395062

now we have:
83.99 is 70.061728395062% of 119.88