27.45 is what percent of 351.33 - 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 351.33 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 351.33, so we can write it down as 100%=351.33.
4. We know, that x% equals 27.45 of the output value, so we can write it down as x%=27.45.
5. Now we have two simple equations:
1) 100%=351.33
2) x%=27.45
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%=351.33/27.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.45 is what percent of 351.33

100%/x%=351.33/27.45
(100/x)*x=(351.33/27.45)*x       - we multiply both sides of the equation by x
100=12.798907103825*x       - we divide both sides of the equation by (12.798907103825) to get x
100/12.798907103825=x
7.8131671078473=x
x=7.8131671078473

now we have:
27.45 is 7.8131671078473% of 351.33