251.6 is what percent of 1480 - 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 1480 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 1480, so we can write it down as 100%=1480.
4. We know, that x% equals 251.6 of the output value, so we can write it down as x%=251.6.
5. Now we have two simple equations:
1) 100%=1480
2) x%=251.6
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%=1480/251.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 251.6 is what percent of 1480

100%/x%=1480/251.6
(100/x)*x=(1480/251.6)*x       - we multiply both sides of the equation by x
100=5.8823529411765*x       - we divide both sides of the equation by (5.8823529411765) to get x
100/5.8823529411765=x
17=x
x=17

now we have:
251.6 is 17% of 1480