7446.38 is what percent of 33.095 - 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 33.095 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 33.095, so we can write it down as 100%=33.095.
4. We know, that x% equals 7446.38 of the output value, so we can write it down as x%=7446.38.
5. Now we have two simple equations:
1) 100%=33.095
2) x%=7446.38
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%=33.095/7446.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7446.38 is what percent of 33.095

100%/x%=33.095/7446.38
(100/x)*x=(33.095/7446.38)*x       - we multiply both sides of the equation by x
100=0.0044444414601457*x       - we divide both sides of the equation by (0.0044444414601457) to get x
100/0.0044444414601457=x
22500.015108022=x
x=22500.015108022

now we have:
7446.38 is 22500.015108022% of 33.095