270.69 is what percent of 3917.81 - 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 3917.81 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 3917.81, so we can write it down as 100%=3917.81.
4. We know, that x% equals 270.69 of the output value, so we can write it down as x%=270.69.
5. Now we have two simple equations:
1) 100%=3917.81
2) x%=270.69
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%=3917.81/270.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 270.69 is what percent of 3917.81

100%/x%=3917.81/270.69
(100/x)*x=(3917.81/270.69)*x       - we multiply both sides of the equation by x
100=14.473419779083*x       - we divide both sides of the equation by (14.473419779083) to get x
100/14.473419779083=x
6.909217139167=x
x=6.909217139167

now we have:
270.69 is 6.909217139167% of 3917.81