45.86 is what percent of 327.26 - 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 327.26 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 327.26, so we can write it down as 100%=327.26.
4. We know, that x% equals 45.86 of the output value, so we can write it down as x%=45.86.
5. Now we have two simple equations:
1) 100%=327.26
2) x%=45.86
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%=327.26/45.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.86 is what percent of 327.26

100%/x%=327.26/45.86
(100/x)*x=(327.26/45.86)*x       - we multiply both sides of the equation by x
100=7.1360662887048*x       - we divide both sides of the equation by (7.1360662887048) to get x
100/7.1360662887048=x
14.013322740329=x
x=14.013322740329

now we have:
45.86 is 14.013322740329% of 327.26