33944.99 is what percent of 73638.89 - 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 73638.89 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 73638.89, so we can write it down as 100%=73638.89.
4. We know, that x% equals 33944.99 of the output value, so we can write it down as x%=33944.99.
5. Now we have two simple equations:
1) 100%=73638.89
2) x%=33944.99
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%=73638.89/33944.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33944.99 is what percent of 73638.89

100%/x%=73638.89/33944.99
(100/x)*x=(73638.89/33944.99)*x       - we multiply both sides of the equation by x
100=2.1693596021092*x       - we divide both sides of the equation by (2.1693596021092) to get x
100/2.1693596021092=x
46.096553057766=x
x=46.096553057766

now we have:
33944.99 is 46.096553057766% of 73638.89