What is 10.34 percent of 967.75 - 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 967.75 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 967.75 is 100%, so we can write it down as 967.75=100%.
4. We know, that x is 10.34% of the output value, so we can write it down as x=10.34%.
5. Now we have two simple equations:
1) 967.75=100%
2) x=10.34%
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:
967.75/x=100%/10.34%
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 10.34% of 967.75

967.75/x=100/10.34
(967.75/x)*x=(100/10.34)*x       - we multiply both sides of the equation by x
967.75=9.6711798839458*x       - we divide both sides of the equation by (9.6711798839458) to get x
967.75/9.6711798839458=x
100.06535=x
x=100.06535

now we have:
10.34% of 967.75=100.06535