What is 76.2 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 76.2% of the output value, so we can write it down as x=76.2%.
5. Now we have two simple equations:
1) 975=100%
2) x=76.2%
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%/76.2%
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 76.2% of 975

975/x=100/76.2
(975/x)*x=(100/76.2)*x       - we multiply both sides of the equation by x
975=1.3123359580052*x       - we divide both sides of the equation by (1.3123359580052) to get x
975/1.3123359580052=x
742.95=x
x=742.95

now we have:
76.2% of 975=742.95