34.98 is what percent of 28.71 - 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 28.71 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 28.71, so we can write it down as 100%=28.71.
4. We know, that x% equals 34.98 of the output value, so we can write it down as x%=34.98.
5. Now we have two simple equations:
1) 100%=28.71
2) x%=34.98
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%=28.71/34.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.98 is what percent of 28.71

100%/x%=28.71/34.98
(100/x)*x=(28.71/34.98)*x       - we multiply both sides of the equation by x
100=0.82075471698113*x       - we divide both sides of the equation by (0.82075471698113) to get x
100/0.82075471698113=x
121.83908045977=x
x=121.83908045977

now we have:
34.98 is 121.83908045977% of 28.71