1005.11 is what percent of 1048.77 - 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 1048.77 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 1048.77, so we can write it down as 100%=1048.77.
4. We know, that x% equals 1005.11 of the output value, so we can write it down as x%=1005.11.
5. Now we have two simple equations:
1) 100%=1048.77
2) x%=1005.11
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%=1048.77/1005.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1005.11 is what percent of 1048.77

100%/x%=1048.77/1005.11
(100/x)*x=(1048.77/1005.11)*x       - we multiply both sides of the equation by x
100=1.0434380316582*x       - we divide both sides of the equation by (1.0434380316582) to get x
100/1.0434380316582=x
95.837028137723=x
x=95.837028137723

now we have:
1005.11 is 95.837028137723% of 1048.77