2.89 is what percent of 37.4 - 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 37.4 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 37.4, so we can write it down as 100%=37.4.
4. We know, that x% equals 2.89 of the output value, so we can write it down as x%=2.89.
5. Now we have two simple equations:
1) 100%=37.4
2) x%=2.89
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%=37.4/2.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.89 is what percent of 37.4

100%/x%=37.4/2.89
(100/x)*x=(37.4/2.89)*x       - we multiply both sides of the equation by x
100=12.941176470588*x       - we divide both sides of the equation by (12.941176470588) to get x
100/12.941176470588=x
7.7272727272727=x
x=7.7272727272727

now we have:
2.89 is 7.7272727272727% of 37.4