10.5 is what percent of 186.5 - 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 186.5 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 186.5, so we can write it down as 100%=186.5.
4. We know, that x% equals 10.5 of the output value, so we can write it down as x%=10.5.
5. Now we have two simple equations:
1) 100%=186.5
2) x%=10.5
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%=186.5/10.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.5 is what percent of 186.5

100%/x%=186.5/10.5
(100/x)*x=(186.5/10.5)*x       - we multiply both sides of the equation by x
100=17.761904761905*x       - we divide both sides of the equation by (17.761904761905) to get x
100/17.761904761905=x
5.6300268096515=x
x=5.6300268096515

now we have:
10.5 is 5.6300268096515% of 186.5