101.6 is what percent of 225.4 - 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 225.4 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 225.4, so we can write it down as 100%=225.4.
4. We know, that x% equals 101.6 of the output value, so we can write it down as x%=101.6.
5. Now we have two simple equations:
1) 100%=225.4
2) x%=101.6
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%=225.4/101.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 101.6 is what percent of 225.4

100%/x%=225.4/101.6
(100/x)*x=(225.4/101.6)*x       - we multiply both sides of the equation by x
100=2.2185039370079*x       - we divide both sides of the equation by (2.2185039370079) to get x
100/2.2185039370079=x
45.075421472937=x
x=45.075421472937

now we have:
101.6 is 45.075421472937% of 225.4