25 is what percent of 16.7 - 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 16.7 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 16.7, so we can write it down as 100%=16.7.
4. We know, that x% equals 25 of the output value, so we can write it down as x%=25.
5. Now we have two simple equations:
1) 100%=16.7
2) x%=25
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%=16.7/25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25 is what percent of 16.7

100%/x%=16.7/25
(100/x)*x=(16.7/25)*x       - we multiply both sides of the equation by x
100=0.668*x       - we divide both sides of the equation by (0.668) to get x
100/0.668=x
149.7005988024=x
x=149.7005988024

now we have:
25 is 149.7005988024% of 16.7