407.44 is what percent of 300.35 - 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 300.35 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 300.35, so we can write it down as 100%=300.35.
4. We know, that x% equals 407.44 of the output value, so we can write it down as x%=407.44.
5. Now we have two simple equations:
1) 100%=300.35
2) x%=407.44
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%=300.35/407.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 407.44 is what percent of 300.35

100%/x%=300.35/407.44
(100/x)*x=(300.35/407.44)*x       - we multiply both sides of the equation by x
100=0.73716375417239*x       - we divide both sides of the equation by (0.73716375417239) to get x
100/0.73716375417239=x
135.65506908607=x
x=135.65506908607

now we have:
407.44 is 135.65506908607% of 300.35