2944.5 is what percent of 45300 - 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 45300 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 45300, so we can write it down as 100%=45300.
4. We know, that x% equals 2944.5 of the output value, so we can write it down as x%=2944.5.
5. Now we have two simple equations:
1) 100%=45300
2) x%=2944.5
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%=45300/2944.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2944.5 is what percent of 45300

100%/x%=45300/2944.5
(100/x)*x=(45300/2944.5)*x       - we multiply both sides of the equation by x
100=15.384615384615*x       - we divide both sides of the equation by (15.384615384615) to get x
100/15.384615384615=x
6.5=x
x=6.5

now we have:
2944.5 is 6.5% of 45300