What is 37.5 percent of 1256.4 - 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 1256.4 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 1256.4 is 100%, so we can write it down as 1256.4=100%.
4. We know, that x is 37.5% of the output value, so we can write it down as x=37.5%.
5. Now we have two simple equations:
1) 1256.4=100%
2) x=37.5%
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:
1256.4/x=100%/37.5%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 37.5% of 1256.4

1256.4/x=100/37.5
(1256.4/x)*x=(100/37.5)*x       - we multiply both sides of the equation by x
1256.4=2.6666666666667*x       - we divide both sides of the equation by (2.6666666666667) to get x
1256.4/2.6666666666667=x
471.15=x
x=471.15

now we have:
37.5% of 1256.4=471.15