812.82 is what percent of 1015.82 - 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 1015.82 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 1015.82, so we can write it down as 100%=1015.82.
4. We know, that x% equals 812.82 of the output value, so we can write it down as x%=812.82.
5. Now we have two simple equations:
1) 100%=1015.82
2) x%=812.82
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%=1015.82/812.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 812.82 is what percent of 1015.82

100%/x%=1015.82/812.82
(100/x)*x=(1015.82/812.82)*x       - we multiply both sides of the equation by x
100=1.249747791639*x       - we divide both sides of the equation by (1.249747791639) to get x
100/1.249747791639=x
80.016144592546=x
x=80.016144592546

now we have:
812.82 is 80.016144592546% of 1015.82