91 is what percent of 2986 - 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 2986 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 2986, so we can write it down as 100%=2986.
4. We know, that x% equals 91 of the output value, so we can write it down as x%=91.
5. Now we have two simple equations:
1) 100%=2986
2) x%=91
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%=2986/91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 91 is what percent of 2986

100%/x%=2986/91
(100/x)*x=(2986/91)*x       - we multiply both sides of the equation by x
100=32.813186813187*x       - we divide both sides of the equation by (32.813186813187) to get x
100/32.813186813187=x
3.0475552578701=x
x=3.0475552578701

now we have:
91 is 3.0475552578701% of 2986