2.74 is what percent of 97.856 - 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 97.856 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 97.856, so we can write it down as 100%=97.856.
4. We know, that x% equals 2.74 of the output value, so we can write it down as x%=2.74.
5. Now we have two simple equations:
1) 100%=97.856
2) x%=2.74
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%=97.856/2.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.74 is what percent of 97.856

100%/x%=97.856/2.74
(100/x)*x=(97.856/2.74)*x       - we multiply both sides of the equation by x
100=35.7138686131*x       - we divide both sides of the equation by (35.7138686131) to get x
100/35.7138686131=x
2.80003270111=x
x=2.80003270111

now we have:
2.74 is 2.80003270111% of 97.856