10 is what percent of 151.2 - 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 151.2 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 151.2, so we can write it down as 100%=151.2.
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%=151.2
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%=151.2/10
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 151.2

100%/x%=151.2/10
(100/x)*x=(151.2/10)*x       - we multiply both sides of the equation by x
100=15.12*x       - we divide both sides of the equation by (15.12) to get x
100/15.12=x
6.6137566137566=x
x=6.6137566137566

now we have:
10 is 6.6137566137566% of 151.2