820.78 is what percent of 1404.76 - 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 1404.76 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 1404.76, so we can write it down as 100%=1404.76.
4. We know, that x% equals 820.78 of the output value, so we can write it down as x%=820.78.
5. Now we have two simple equations:
1) 100%=1404.76
2) x%=820.78
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%=1404.76/820.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 820.78 is what percent of 1404.76

100%/x%=1404.76/820.78
(100/x)*x=(1404.76/820.78)*x       - we multiply both sides of the equation by x
100=1.7114939447842*x       - we divide both sides of the equation by (1.7114939447842) to get x
100/1.7114939447842=x
58.428486004727=x
x=58.428486004727

now we have:
820.78 is 58.428486004727% of 1404.76