287.76 is what percent of 1.298 - 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 1.298 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 1.298, so we can write it down as 100%=1.298.
4. We know, that x% equals 287.76 of the output value, so we can write it down as x%=287.76.
5. Now we have two simple equations:
1) 100%=1.298
2) x%=287.76
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%=1.298/287.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 287.76 is what percent of 1.298

100%/x%=1.298/287.76
(100/x)*x=(1.298/287.76)*x       - we multiply both sides of the equation by x
100=0.0045107033639144*x       - we divide both sides of the equation by (0.0045107033639144) to get x
100/0.0045107033639144=x
22169.491525424=x
x=22169.491525424

now we have:
287.76 is 22169.491525424% of 1.298