45.23 is what percent of 3256 - 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 3256 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 3256, so we can write it down as 100%=3256.
4. We know, that x% equals 45.23 of the output value, so we can write it down as x%=45.23.
5. Now we have two simple equations:
1) 100%=3256
2) x%=45.23
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%=3256/45.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.23 is what percent of 3256

100%/x%=3256/45.23
(100/x)*x=(3256/45.23)*x       - we multiply both sides of the equation by x
100=71.987618837055*x       - we divide both sides of the equation by (71.987618837055) to get x
100/71.987618837055=x
1.3891277641278=x
x=1.3891277641278

now we have:
45.23 is 1.3891277641278% of 3256