10 is what percent of 158.75 - 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 158.75 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 158.75, so we can write it down as 100%=158.75.
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%=158.75
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%=158.75/10
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 158.75

100%/x%=158.75/10
(100/x)*x=(158.75/10)*x       - we multiply both sides of the equation by x
100=15.875*x       - we divide both sides of the equation by (15.875) to get x
100/15.875=x
6.2992125984252=x
x=6.2992125984252

now we have:
10 is 6.2992125984252% of 158.75