44.99 is what percent of 3502 - 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 3502 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 3502, so we can write it down as 100%=3502.
4. We know, that x% equals 44.99 of the output value, so we can write it down as x%=44.99.
5. Now we have two simple equations:
1) 100%=3502
2) x%=44.99
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%=3502/44.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44.99 is what percent of 3502

100%/x%=3502/44.99
(100/x)*x=(3502/44.99)*x       - we multiply both sides of the equation by x
100=77.83951989331*x       - we divide both sides of the equation by (77.83951989331) to get x
100/77.83951989331=x
1.2846944603084=x
x=1.2846944603084

now we have:
44.99 is 1.2846944603084% of 3502