2243.23 is what percent of 3355.49 - 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 3355.49 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 3355.49, so we can write it down as 100%=3355.49.
4. We know, that x% equals 2243.23 of the output value, so we can write it down as x%=2243.23.
5. Now we have two simple equations:
1) 100%=3355.49
2) x%=2243.23
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%=3355.49/2243.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2243.23 is what percent of 3355.49

100%/x%=3355.49/2243.23
(100/x)*x=(3355.49/2243.23)*x       - we multiply both sides of the equation by x
100=1.4958296741752*x       - we divide both sides of the equation by (1.4958296741752) to get x
100/1.4958296741752=x
66.852531224948=x
x=66.852531224948

now we have:
2243.23 is 66.852531224948% of 3355.49