45 is what percent of 32844 - 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 32844 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 32844, so we can write it down as 100%=32844.
4. We know, that x% equals 45 of the output value, so we can write it down as x%=45.
5. Now we have two simple equations:
1) 100%=32844
2) x%=45
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%=32844/45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45 is what percent of 32844

100%/x%=32844/45
(100/x)*x=(32844/45)*x       - we multiply both sides of the equation by x
100=729.86666666667*x       - we divide both sides of the equation by (729.86666666667) to get x
100/729.86666666667=x
0.13701132626964=x
x=0.13701132626964

now we have:
45 is 0.13701132626964% of 32844