35.24 is what percent of 1408.77 - 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 1408.77 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 1408.77, so we can write it down as 100%=1408.77.
4. We know, that x% equals 35.24 of the output value, so we can write it down as x%=35.24.
5. Now we have two simple equations:
1) 100%=1408.77
2) x%=35.24
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%=1408.77/35.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.24 is what percent of 1408.77

100%/x%=1408.77/35.24
(100/x)*x=(1408.77/35.24)*x       - we multiply both sides of the equation by x
100=39.976447219069*x       - we divide both sides of the equation by (39.976447219069) to get x
100/39.976447219069=x
2.5014729160899=x
x=2.5014729160899

now we have:
35.24 is 2.5014729160899% of 1408.77