448.03 is what percent of 1434.84 - 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 1434.84 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 1434.84, so we can write it down as 100%=1434.84.
4. We know, that x% equals 448.03 of the output value, so we can write it down as x%=448.03.
5. Now we have two simple equations:
1) 100%=1434.84
2) x%=448.03
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%=1434.84/448.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 448.03 is what percent of 1434.84

100%/x%=1434.84/448.03
(100/x)*x=(1434.84/448.03)*x       - we multiply both sides of the equation by x
100=3.2025534004419*x       - we divide both sides of the equation by (3.2025534004419) to get x
100/3.2025534004419=x
31.22508432996=x
x=31.22508432996

now we have:
448.03 is 31.22508432996% of 1434.84