27.93 is what percent of 429.9 - 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 429.9 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 429.9, so we can write it down as 100%=429.9.
4. We know, that x% equals 27.93 of the output value, so we can write it down as x%=27.93.
5. Now we have two simple equations:
1) 100%=429.9
2) x%=27.93
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%=429.9/27.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.93 is what percent of 429.9

100%/x%=429.9/27.93
(100/x)*x=(429.9/27.93)*x       - we multiply both sides of the equation by x
100=15.392051557465*x       - we divide both sides of the equation by (15.392051557465) to get x
100/15.392051557465=x
6.4968597348221=x
x=6.4968597348221

now we have:
27.93 is 6.4968597348221% of 429.9