83.43 is what percent of 71.87 - 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 71.87 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 71.87, so we can write it down as 100%=71.87.
4. We know, that x% equals 83.43 of the output value, so we can write it down as x%=83.43.
5. Now we have two simple equations:
1) 100%=71.87
2) x%=83.43
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%=71.87/83.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 83.43 is what percent of 71.87

100%/x%=71.87/83.43
(100/x)*x=(71.87/83.43)*x       - we multiply both sides of the equation by x
100=0.86144072875464*x       - we divide both sides of the equation by (0.86144072875464) to get x
100/0.86144072875464=x
116.08459718937=x
x=116.08459718937

now we have:
83.43 is 116.08459718937% of 71.87