35.71 is what percent of 24.65 - 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 24.65 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 24.65, so we can write it down as 100%=24.65.
4. We know, that x% equals 35.71 of the output value, so we can write it down as x%=35.71.
5. Now we have two simple equations:
1) 100%=24.65
2) x%=35.71
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%=24.65/35.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.71 is what percent of 24.65

100%/x%=24.65/35.71
(100/x)*x=(24.65/35.71)*x       - we multiply both sides of the equation by x
100=0.69028283394007*x       - we divide both sides of the equation by (0.69028283394007) to get x
100/0.69028283394007=x
144.86815415822=x
x=144.86815415822

now we have:
35.71 is 144.86815415822% of 24.65