1154.67 is what percent of 1538.46 - 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 1538.46 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 1538.46, so we can write it down as 100%=1538.46.
4. We know, that x% equals 1154.67 of the output value, so we can write it down as x%=1154.67.
5. Now we have two simple equations:
1) 100%=1538.46
2) x%=1154.67
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%=1538.46/1154.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1154.67 is what percent of 1538.46

100%/x%=1538.46/1154.67
(100/x)*x=(1538.46/1154.67)*x       - we multiply both sides of the equation by x
100=1.3323806801943*x       - we divide both sides of the equation by (1.3323806801943) to get x
100/1.3323806801943=x
75.053625053625=x
x=75.053625053625

now we have:
1154.67 is 75.053625053625% of 1538.46