71 is what percent of 114.3 - 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 114.3 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 114.3, so we can write it down as 100%=114.3.
4. We know, that x% equals 71 of the output value, so we can write it down as x%=71.
5. Now we have two simple equations:
1) 100%=114.3
2) x%=71
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%=114.3/71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 71 is what percent of 114.3

100%/x%=114.3/71
(100/x)*x=(114.3/71)*x       - we multiply both sides of the equation by x
100=1.6098591549296*x       - we divide both sides of the equation by (1.6098591549296) to get x
100/1.6098591549296=x
62.117235345582=x
x=62.117235345582

now we have:
71 is 62.117235345582% of 114.3