258.4 is what percent of 2.136 - 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 2.136 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 2.136, so we can write it down as 100%=2.136.
4. We know, that x% equals 258.4 of the output value, so we can write it down as x%=258.4.
5. Now we have two simple equations:
1) 100%=2.136
2) x%=258.4
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%=2.136/258.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 258.4 is what percent of 2.136

100%/x%=2.136/258.4
(100/x)*x=(2.136/258.4)*x       - we multiply both sides of the equation by x
100=0.008266253869969*x       - we divide both sides of the equation by (0.008266253869969) to get x
100/0.008266253869969=x
12097.378277154=x
x=12097.378277154

now we have:
258.4 is 12097.378277154% of 2.136