257.34 is what percent of 1183.19 - 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 1183.19 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 1183.19, so we can write it down as 100%=1183.19.
4. We know, that x% equals 257.34 of the output value, so we can write it down as x%=257.34.
5. Now we have two simple equations:
1) 100%=1183.19
2) x%=257.34
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%=1183.19/257.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 257.34 is what percent of 1183.19

100%/x%=1183.19/257.34
(100/x)*x=(1183.19/257.34)*x       - we multiply both sides of the equation by x
100=4.5977694878371*x       - we divide both sides of the equation by (4.5977694878371) to get x
100/4.5977694878371=x
21.749676721406=x
x=21.749676721406

now we have:
257.34 is 21.749676721406% of 1183.19