45.85 is what percent of 438.38 - 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 438.38 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 438.38, so we can write it down as 100%=438.38.
4. We know, that x% equals 45.85 of the output value, so we can write it down as x%=45.85.
5. Now we have two simple equations:
1) 100%=438.38
2) x%=45.85
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%=438.38/45.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.85 is what percent of 438.38

100%/x%=438.38/45.85
(100/x)*x=(438.38/45.85)*x       - we multiply both sides of the equation by x
100=9.5611777535442*x       - we divide both sides of the equation by (9.5611777535442) to get x
100/9.5611777535442=x
10.458962543912=x
x=10.458962543912

now we have:
45.85 is 10.458962543912% of 438.38