1.07 is what percent of 280 - 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 280 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 280, so we can write it down as 100%=280.
4. We know, that x% equals 1.07 of the output value, so we can write it down as x%=1.07.
5. Now we have two simple equations:
1) 100%=280
2) x%=1.07
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%=280/1.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.07 is what percent of 280

100%/x%=280/1.07
(100/x)*x=(280/1.07)*x       - we multiply both sides of the equation by x
100=261.68224299065*x       - we divide both sides of the equation by (261.68224299065) to get x
100/261.68224299065=x
0.38214285714286=x
x=0.38214285714286

now we have:
1.07 is 0.38214285714286% of 280