1102.98 is what percent of 1533.33 - 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 1533.33 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 1533.33, so we can write it down as 100%=1533.33.
4. We know, that x% equals 1102.98 of the output value, so we can write it down as x%=1102.98.
5. Now we have two simple equations:
1) 100%=1533.33
2) x%=1102.98
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%=1533.33/1102.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1102.98 is what percent of 1533.33

100%/x%=1533.33/1102.98
(100/x)*x=(1533.33/1102.98)*x       - we multiply both sides of the equation by x
100=1.3901702660066*x       - we divide both sides of the equation by (1.3901702660066) to get x
100/1.3901702660066=x
71.933634638336=x
x=71.933634638336

now we have:
1102.98 is 71.933634638336% of 1533.33