2.74 is what percent of 3.2 - 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 3.2 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 3.2, so we can write it down as 100%=3.2.
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%=3.2
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%=3.2/2.74
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 3.2

100%/x%=3.2/2.74
(100/x)*x=(3.2/2.74)*x       - we multiply both sides of the equation by x
100=1.1678832116788*x       - we divide both sides of the equation by (1.1678832116788) to get x
100/1.1678832116788=x
85.625=x
x=85.625

now we have:
2.74 is 85.625% of 3.2