200.12 is what percent of 270 - 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 270 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 270, so we can write it down as 100%=270.
4. We know, that x% equals 200.12 of the output value, so we can write it down as x%=200.12.
5. Now we have two simple equations:
1) 100%=270
2) x%=200.12
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%=270/200.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 200.12 is what percent of 270

100%/x%=270/200.12
(100/x)*x=(270/200.12)*x       - we multiply both sides of the equation by x
100=1.3491904857086*x       - we divide both sides of the equation by (1.3491904857086) to get x
100/1.3491904857086=x
74.118518518519=x
x=74.118518518519

now we have:
200.12 is 74.118518518519% of 270