40.6 is what percent of 45.4 - 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 45.4 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 45.4, so we can write it down as 100%=45.4.
4. We know, that x% equals 40.6 of the output value, so we can write it down as x%=40.6.
5. Now we have two simple equations:
1) 100%=45.4
2) x%=40.6
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%=45.4/40.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.6 is what percent of 45.4

100%/x%=45.4/40.6
(100/x)*x=(45.4/40.6)*x       - we multiply both sides of the equation by x
100=1.1182266009852*x       - we divide both sides of the equation by (1.1182266009852) to get x
100/1.1182266009852=x
89.42731277533=x
x=89.42731277533

now we have:
40.6 is 89.42731277533% of 45.4