257.46 is what percent of 894.9 - 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 894.9 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 894.9, so we can write it down as 100%=894.9.
4. We know, that x% equals 257.46 of the output value, so we can write it down as x%=257.46.
5. Now we have two simple equations:
1) 100%=894.9
2) x%=257.46
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%=894.9/257.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 257.46 is what percent of 894.9

100%/x%=894.9/257.46
(100/x)*x=(894.9/257.46)*x       - we multiply both sides of the equation by x
100=3.4758797483104*x       - we divide both sides of the equation by (3.4758797483104) to get x
100/3.4758797483104=x
28.769694937982=x
x=28.769694937982

now we have:
257.46 is 28.769694937982% of 894.9