76.97 is what percent of 109.83 - 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 109.83 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 109.83, so we can write it down as 100%=109.83.
4. We know, that x% equals 76.97 of the output value, so we can write it down as x%=76.97.
5. Now we have two simple equations:
1) 100%=109.83
2) x%=76.97
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%=109.83/76.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 76.97 is what percent of 109.83

100%/x%=109.83/76.97
(100/x)*x=(109.83/76.97)*x       - we multiply both sides of the equation by x
100=1.4269195790568*x       - we divide both sides of the equation by (1.4269195790568) to get x
100/1.4269195790568=x
70.081034325776=x
x=70.081034325776

now we have:
76.97 is 70.081034325776% of 109.83