26.71 is what percent of 2968 - 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 2968 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 2968, so we can write it down as 100%=2968.
4. We know, that x% equals 26.71 of the output value, so we can write it down as x%=26.71.
5. Now we have two simple equations:
1) 100%=2968
2) x%=26.71
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%=2968/26.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.71 is what percent of 2968

100%/x%=2968/26.71
(100/x)*x=(2968/26.71)*x       - we multiply both sides of the equation by x
100=111.11943092475*x       - we divide both sides of the equation by (111.11943092475) to get x
100/111.11943092475=x
0.89993261455526=x
x=0.89993261455526

now we have:
26.71 is 0.89993261455526% of 2968