811.4 is what percent of 988.8 - 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 988.8 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 988.8, so we can write it down as 100%=988.8.
4. We know, that x% equals 811.4 of the output value, so we can write it down as x%=811.4.
5. Now we have two simple equations:
1) 100%=988.8
2) x%=811.4
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%=988.8/811.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 811.4 is what percent of 988.8

100%/x%=988.8/811.4
(100/x)*x=(988.8/811.4)*x       - we multiply both sides of the equation by x
100=1.2186344589598*x       - we divide both sides of the equation by (1.2186344589598) to get x
100/1.2186344589598=x
82.059061488673=x
x=82.059061488673

now we have:
811.4 is 82.059061488673% of 988.8