What is 11.7625 percent of 850 - 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 850 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 850 is 100%, so we can write it down as 850=100%.
4. We know, that x is 11.7625% of the output value, so we can write it down as x=11.7625%.
5. Now we have two simple equations:
1) 850=100%
2) x=11.7625%
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:
850/x=100%/11.7625%
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 11.7625% of 850

850/x=100/11.7625
(850/x)*x=(100/11.7625)*x       - we multiply both sides of the equation by x
850=8.5015940488842*x       - we divide both sides of the equation by (8.5015940488842) to get x
850/8.5015940488842=x
99.98125=x
x=99.98125

now we have:
11.7625% of 850=99.98125