What is 38.3 percent of 975 - 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 975 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 975 is 100%, so we can write it down as 975=100%.
4. We know, that x is 38.3% of the output value, so we can write it down as x=38.3%.
5. Now we have two simple equations:
1) 975=100%
2) x=38.3%
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:
975/x=100%/38.3%
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 38.3% of 975

975/x=100/38.3
(975/x)*x=(100/38.3)*x       - we multiply both sides of the equation by x
975=2.6109660574413*x       - we divide both sides of the equation by (2.6109660574413) to get x
975/2.6109660574413=x
373.425=x
x=373.425

now we have:
38.3% of 975=373.425