27.2 is what percent of 777.2 - 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 777.2 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 777.2, so we can write it down as 100%=777.2.
4. We know, that x% equals 27.2 of the output value, so we can write it down as x%=27.2.
5. Now we have two simple equations:
1) 100%=777.2
2) x%=27.2
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%=777.2/27.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.2 is what percent of 777.2

100%/x%=777.2/27.2
(100/x)*x=(777.2/27.2)*x       - we multiply both sides of the equation by x
100=28.573529411765*x       - we divide both sides of the equation by (28.573529411765) to get x
100/28.573529411765=x
3.4997426659804=x
x=3.4997426659804

now we have:
27.2 is 3.4997426659804% of 777.2