2.84 is what percent of 3.4 - 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 3.4 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 3.4, so we can write it down as 100%=3.4.
4. We know, that x% equals 2.84 of the output value, so we can write it down as x%=2.84.
5. Now we have two simple equations:
1) 100%=3.4
2) x%=2.84
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%=3.4/2.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.84 is what percent of 3.4

100%/x%=3.4/2.84
(100/x)*x=(3.4/2.84)*x       - we multiply both sides of the equation by x
100=1.1971830985915*x       - we divide both sides of the equation by (1.1971830985915) to get x
100/1.1971830985915=x
83.529411764706=x
x=83.529411764706

now we have:
2.84 is 83.529411764706% of 3.4