71 is what percent of 2098 - 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 2098 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 2098, so we can write it down as 100%=2098.
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%=2098
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%=2098/71
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 2098

100%/x%=2098/71
(100/x)*x=(2098/71)*x       - we multiply both sides of the equation by x
100=29.549295774648*x       - we divide both sides of the equation by (29.549295774648) to get x
100/29.549295774648=x
3.3841754051478=x
x=3.3841754051478

now we have:
71 is 3.3841754051478% of 2098