0.35 is what percent of 24.73 - 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 24.73 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 24.73, so we can write it down as 100%=24.73.
4. We know, that x% equals 0.35 of the output value, so we can write it down as x%=0.35.
5. Now we have two simple equations:
1) 100%=24.73
2) x%=0.35
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%=24.73/0.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.35 is what percent of 24.73

100%/x%=24.73/0.35
(100/x)*x=(24.73/0.35)*x       - we multiply both sides of the equation by x
100=70.657142857143*x       - we divide both sides of the equation by (70.657142857143) to get x
100/70.657142857143=x
1.4152850788516=x
x=1.4152850788516

now we have:
0.35 is 1.4152850788516% of 24.73