25 is what percent of 1342 - 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 1342 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 1342, so we can write it down as 100%=1342.
4. We know, that x% equals 25 of the output value, so we can write it down as x%=25.
5. Now we have two simple equations:
1) 100%=1342
2) x%=25
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%=1342/25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25 is what percent of 1342

100%/x%=1342/25
(100/x)*x=(1342/25)*x       - we multiply both sides of the equation by x
100=53.68*x       - we divide both sides of the equation by (53.68) to get x
100/53.68=x
1.8628912071535=x
x=1.8628912071535

now we have:
25 is 1.8628912071535% of 1342