73.49 is what percent of 828.1 - 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 828.1 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 828.1, so we can write it down as 100%=828.1.
4. We know, that x% equals 73.49 of the output value, so we can write it down as x%=73.49.
5. Now we have two simple equations:
1) 100%=828.1
2) x%=73.49
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%=828.1/73.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 73.49 is what percent of 828.1

100%/x%=828.1/73.49
(100/x)*x=(828.1/73.49)*x       - we multiply both sides of the equation by x
100=11.268199755069*x       - we divide both sides of the equation by (11.268199755069) to get x
100/11.268199755069=x
8.8745320613452=x
x=8.8745320613452

now we have:
73.49 is 8.8745320613452% of 828.1