101.54 is what percent of 301.54 - 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 301.54 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 301.54, so we can write it down as 100%=301.54.
4. We know, that x% equals 101.54 of the output value, so we can write it down as x%=101.54.
5. Now we have two simple equations:
1) 100%=301.54
2) x%=101.54
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%=301.54/101.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 101.54 is what percent of 301.54

100%/x%=301.54/101.54
(100/x)*x=(301.54/101.54)*x       - we multiply both sides of the equation by x
100=2.9696671262557*x       - we divide both sides of the equation by (2.9696671262557) to get x
100/2.9696671262557=x
33.673807786695=x
x=33.673807786695

now we have:
101.54 is 33.673807786695% of 301.54