35.3 is what percent of 44.9 - 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 44.9 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 44.9, so we can write it down as 100%=44.9.
4. We know, that x% equals 35.3 of the output value, so we can write it down as x%=35.3.
5. Now we have two simple equations:
1) 100%=44.9
2) x%=35.3
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%=44.9/35.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.3 is what percent of 44.9

100%/x%=44.9/35.3
(100/x)*x=(44.9/35.3)*x       - we multiply both sides of the equation by x
100=1.271954674221*x       - we divide both sides of the equation by (1.271954674221) to get x
100/1.271954674221=x
78.619153674833=x
x=78.619153674833

now we have:
35.3 is 78.619153674833% of 44.9