267.4 is what percent of 1528.8 - 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 1528.8 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 1528.8, so we can write it down as 100%=1528.8.
4. We know, that x% equals 267.4 of the output value, so we can write it down as x%=267.4.
5. Now we have two simple equations:
1) 100%=1528.8
2) x%=267.4
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%=1528.8/267.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 267.4 is what percent of 1528.8

100%/x%=1528.8/267.4
(100/x)*x=(1528.8/267.4)*x       - we multiply both sides of the equation by x
100=5.717277486911*x       - we divide both sides of the equation by (5.717277486911) to get x
100/5.717277486911=x
17.490842490842=x
x=17.490842490842

now we have:
267.4 is 17.490842490842% of 1528.8