242.5 is what percent of 1396 - 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 1396 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 1396, so we can write it down as 100%=1396.
4. We know, that x% equals 242.5 of the output value, so we can write it down as x%=242.5.
5. Now we have two simple equations:
1) 100%=1396
2) x%=242.5
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%=1396/242.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 242.5 is what percent of 1396

100%/x%=1396/242.5
(100/x)*x=(1396/242.5)*x       - we multiply both sides of the equation by x
100=5.7567010309278*x       - we divide both sides of the equation by (5.7567010309278) to get x
100/5.7567010309278=x
17.37106017192=x
x=17.37106017192

now we have:
242.5 is 17.37106017192% of 1396