278.98 is what percent of 1153.84 - 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 1153.84 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 1153.84, so we can write it down as 100%=1153.84.
4. We know, that x% equals 278.98 of the output value, so we can write it down as x%=278.98.
5. Now we have two simple equations:
1) 100%=1153.84
2) x%=278.98
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%=1153.84/278.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 278.98 is what percent of 1153.84

100%/x%=1153.84/278.98
(100/x)*x=(1153.84/278.98)*x       - we multiply both sides of the equation by x
100=4.1359237221306*x       - we divide both sides of the equation by (4.1359237221306) to get x
100/4.1359237221306=x
24.17839561811=x
x=24.17839561811

now we have:
278.98 is 24.17839561811% of 1153.84