729.65 is what percent of 1046.82 - 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 1046.82 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 1046.82, so we can write it down as 100%=1046.82.
4. We know, that x% equals 729.65 of the output value, so we can write it down as x%=729.65.
5. Now we have two simple equations:
1) 100%=1046.82
2) x%=729.65
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%=1046.82/729.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 729.65 is what percent of 1046.82

100%/x%=1046.82/729.65
(100/x)*x=(1046.82/729.65)*x       - we multiply both sides of the equation by x
100=1.4346878640444*x       - we divide both sides of the equation by (1.4346878640444) to get x
100/1.4346878640444=x
69.701572381116=x
x=69.701572381116

now we have:
729.65 is 69.701572381116% of 1046.82