17.7 is what percent of 155.25 - 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 155.25 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 155.25, so we can write it down as 100%=155.25.
4. We know, that x% equals 17.7 of the output value, so we can write it down as x%=17.7.
5. Now we have two simple equations:
1) 100%=155.25
2) x%=17.7
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%=155.25/17.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.7 is what percent of 155.25

100%/x%=155.25/17.7
(100/x)*x=(155.25/17.7)*x       - we multiply both sides of the equation by x
100=8.771186440678*x       - we divide both sides of the equation by (8.771186440678) to get x
100/8.771186440678=x
11.400966183575=x
x=11.400966183575

now we have:
17.7 is 11.400966183575% of 155.25