24.9 is what percent of 1600 - 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 1600 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 1600, so we can write it down as 100%=1600.
4. We know, that x% equals 24.9 of the output value, so we can write it down as x%=24.9.
5. Now we have two simple equations:
1) 100%=1600
2) x%=24.9
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%=1600/24.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.9 is what percent of 1600

100%/x%=1600/24.9
(100/x)*x=(1600/24.9)*x       - we multiply both sides of the equation by x
100=64.25702811245*x       - we divide both sides of the equation by (64.25702811245) to get x
100/64.25702811245=x
1.55625=x
x=1.55625

now we have:
24.9 is 1.55625% of 1600