1.2 is what percent of 1.397 - 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 1.397 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 1.397, so we can write it down as 100%=1.397.
4. We know, that x% equals 1.2 of the output value, so we can write it down as x%=1.2.
5. Now we have two simple equations:
1) 100%=1.397
2) x%=1.2
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%=1.397/1.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.2 is what percent of 1.397

100%/x%=1.397/1.2
(100/x)*x=(1.397/1.2)*x       - we multiply both sides of the equation by x
100=1.1641666666667*x       - we divide both sides of the equation by (1.1641666666667) to get x
100/1.1641666666667=x
85.898353614889=x
x=85.898353614889

now we have:
1.2 is 85.898353614889% of 1.397