1011.6 is what percent of 1000.26 - 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 1000.26 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 1000.26, so we can write it down as 100%=1000.26.
4. We know, that x% equals 1011.6 of the output value, so we can write it down as x%=1011.6.
5. Now we have two simple equations:
1) 100%=1000.26
2) x%=1011.6
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%=1000.26/1011.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1011.6 is what percent of 1000.26

100%/x%=1000.26/1011.6
(100/x)*x=(1000.26/1011.6)*x       - we multiply both sides of the equation by x
100=0.98879003558719*x       - we divide both sides of the equation by (0.98879003558719) to get x
100/0.98879003558719=x
101.13370523664=x
x=101.13370523664

now we have:
1011.6 is 101.13370523664% of 1000.26