278.15 is what percent of 337 - 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 337 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 337, so we can write it down as 100%=337.
4. We know, that x% equals 278.15 of the output value, so we can write it down as x%=278.15.
5. Now we have two simple equations:
1) 100%=337
2) x%=278.15
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%=337/278.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 278.15 is what percent of 337

100%/x%=337/278.15
(100/x)*x=(337/278.15)*x       - we multiply both sides of the equation by x
100=1.2115764875067*x       - we divide both sides of the equation by (1.2115764875067) to get x
100/1.2115764875067=x
82.537091988131=x
x=82.537091988131

now we have:
278.15 is 82.537091988131% of 337