33.31 is what percent of 1446.98 - 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 1446.98 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 1446.98, so we can write it down as 100%=1446.98.
4. We know, that x% equals 33.31 of the output value, so we can write it down as x%=33.31.
5. Now we have two simple equations:
1) 100%=1446.98
2) x%=33.31
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%=1446.98/33.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.31 is what percent of 1446.98

100%/x%=1446.98/33.31
(100/x)*x=(1446.98/33.31)*x       - we multiply both sides of the equation by x
100=43.439807865506*x       - we divide both sides of the equation by (43.439807865506) to get x
100/43.439807865506=x
2.3020359645607=x
x=2.3020359645607

now we have:
33.31 is 2.3020359645607% of 1446.98