275.64 is what percent of 918.8 - 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 918.8 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 918.8, so we can write it down as 100%=918.8.
4. We know, that x% equals 275.64 of the output value, so we can write it down as x%=275.64.
5. Now we have two simple equations:
1) 100%=918.8
2) x%=275.64
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%=918.8/275.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 275.64 is what percent of 918.8

100%/x%=918.8/275.64
(100/x)*x=(918.8/275.64)*x       - we multiply both sides of the equation by x
100=3.3333333333333*x       - we divide both sides of the equation by (3.3333333333333) to get x
100/3.3333333333333=x
30=x
x=30

now we have:
275.64 is 30% of 918.8