2.91 is what percent of 17.86 - 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 17.86 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 17.86, so we can write it down as 100%=17.86.
4. We know, that x% equals 2.91 of the output value, so we can write it down as x%=2.91.
5. Now we have two simple equations:
1) 100%=17.86
2) x%=2.91
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%=17.86/2.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.91 is what percent of 17.86

100%/x%=17.86/2.91
(100/x)*x=(17.86/2.91)*x       - we multiply both sides of the equation by x
100=6.1374570446735*x       - we divide both sides of the equation by (6.1374570446735) to get x
100/6.1374570446735=x
16.293393057111=x
x=16.293393057111

now we have:
2.91 is 16.293393057111% of 17.86