33.75 is what percent of 677.25 - 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 677.25 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 677.25, so we can write it down as 100%=677.25.
4. We know, that x% equals 33.75 of the output value, so we can write it down as x%=33.75.
5. Now we have two simple equations:
1) 100%=677.25
2) x%=33.75
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%=677.25/33.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.75 is what percent of 677.25

100%/x%=677.25/33.75
(100/x)*x=(677.25/33.75)*x       - we multiply both sides of the equation by x
100=20.066666666667*x       - we divide both sides of the equation by (20.066666666667) to get x
100/20.066666666667=x
4.9833887043189=x
x=4.9833887043189

now we have:
33.75 is 4.9833887043189% of 677.25