41.8 is what percent of 278.65 - 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 278.65 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 278.65, so we can write it down as 100%=278.65.
4. We know, that x% equals 41.8 of the output value, so we can write it down as x%=41.8.
5. Now we have two simple equations:
1) 100%=278.65
2) x%=41.8
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%=278.65/41.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.8 is what percent of 278.65

100%/x%=278.65/41.8
(100/x)*x=(278.65/41.8)*x       - we multiply both sides of the equation by x
100=6.6662679425837*x       - we divide both sides of the equation by (6.6662679425837) to get x
100/6.6662679425837=x
15.000897182846=x
x=15.000897182846

now we have:
41.8 is 15.000897182846% of 278.65