2.66 is what percent of 4.3 - 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 4.3 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 4.3, so we can write it down as 100%=4.3.
4. We know, that x% equals 2.66 of the output value, so we can write it down as x%=2.66.
5. Now we have two simple equations:
1) 100%=4.3
2) x%=2.66
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%=4.3/2.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.66 is what percent of 4.3

100%/x%=4.3/2.66
(100/x)*x=(4.3/2.66)*x       - we multiply both sides of the equation by x
100=1.6165413533835*x       - we divide both sides of the equation by (1.6165413533835) to get x
100/1.6165413533835=x
61.860465116279=x
x=61.860465116279

now we have:
2.66 is 61.860465116279% of 4.3