45.6 is what percent of 170.6 - 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 170.6 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 170.6, so we can write it down as 100%=170.6.
4. We know, that x% equals 45.6 of the output value, so we can write it down as x%=45.6.
5. Now we have two simple equations:
1) 100%=170.6
2) x%=45.6
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%=170.6/45.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.6 is what percent of 170.6

100%/x%=170.6/45.6
(100/x)*x=(170.6/45.6)*x       - we multiply both sides of the equation by x
100=3.7412280701754*x       - we divide both sides of the equation by (3.7412280701754) to get x
100/3.7412280701754=x
26.72919109027=x
x=26.72919109027

now we have:
45.6 is 26.72919109027% of 170.6