35.37 is what percent of 1449 - 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 1449 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 1449, so we can write it down as 100%=1449.
4. We know, that x% equals 35.37 of the output value, so we can write it down as x%=35.37.
5. Now we have two simple equations:
1) 100%=1449
2) x%=35.37
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%=1449/35.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.37 is what percent of 1449

100%/x%=1449/35.37
(100/x)*x=(1449/35.37)*x       - we multiply both sides of the equation by x
100=40.966921119593*x       - we divide both sides of the equation by (40.966921119593) to get x
100/40.966921119593=x
2.4409937888199=x
x=2.4409937888199

now we have:
35.37 is 2.4409937888199% of 1449