27.4 is what percent of 253.832 - 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 253.832 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 253.832, so we can write it down as 100%=253.832.
4. We know, that x% equals 27.4 of the output value, so we can write it down as x%=27.4.
5. Now we have two simple equations:
1) 100%=253.832
2) x%=27.4
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%=253.832/27.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.4 is what percent of 253.832

100%/x%=253.832/27.4
(100/x)*x=(253.832/27.4)*x       - we multiply both sides of the equation by x
100=9.2639416058394*x       - we divide both sides of the equation by (9.2639416058394) to get x
100/9.2639416058394=x
10.794541271392=x
x=10.794541271392

now we have:
27.4 is 10.794541271392% of 253.832