803.84 is what percent of 1004.84 - 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 1004.84 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 1004.84, so we can write it down as 100%=1004.84.
4. We know, that x% equals 803.84 of the output value, so we can write it down as x%=803.84.
5. Now we have two simple equations:
1) 100%=1004.84
2) x%=803.84
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%=1004.84/803.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 803.84 is what percent of 1004.84

100%/x%=1004.84/803.84
(100/x)*x=(1004.84/803.84)*x       - we multiply both sides of the equation by x
100=1.2500497611465*x       - we divide both sides of the equation by (1.2500497611465) to get x
100/1.2500497611465=x
79.996815413399=x
x=79.996815413399

now we have:
803.84 is 79.996815413399% of 1004.84