10 is what percent of 81.75 - 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 81.75 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 100% equals 81.75, so we can write it down as 100%=81.75.
4. We know, that x% equals 10 of the output value, so we can write it down as x%=10.
5. Now we have two simple equations:
1) 100%=81.75
2) x%=10
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:
100%/x%=81.75/10
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10 is what percent of 81.75

100%/x%=81.75/10
(100/x)*x=(81.75/10)*x       - we multiply both sides of the equation by x
100=8.175*x       - we divide both sides of the equation by (8.175) to get x
100/8.175=x
12.232415902141=x
x=12.232415902141

now we have:
10 is 12.232415902141% of 81.75