278.34 is what percent of 676.52 - 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 676.52 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 676.52, so we can write it down as 100%=676.52.
4. We know, that x% equals 278.34 of the output value, so we can write it down as x%=278.34.
5. Now we have two simple equations:
1) 100%=676.52
2) x%=278.34
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%=676.52/278.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 278.34 is what percent of 676.52

100%/x%=676.52/278.34
(100/x)*x=(676.52/278.34)*x       - we multiply both sides of the equation by x
100=2.4305525616153*x       - we divide both sides of the equation by (2.4305525616153) to get x
100/2.4305525616153=x
41.142907822385=x
x=41.142907822385

now we have:
278.34 is 41.142907822385% of 676.52