159.47 is what percent of 5241.18 - 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 5241.18 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 5241.18, so we can write it down as 100%=5241.18.
4. We know, that x% equals 159.47 of the output value, so we can write it down as x%=159.47.
5. Now we have two simple equations:
1) 100%=5241.18
2) x%=159.47
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%=5241.18/159.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 159.47 is what percent of 5241.18

100%/x%=5241.18/159.47
(100/x)*x=(5241.18/159.47)*x       - we multiply both sides of the equation by x
100=32.86624443469*x       - we divide both sides of the equation by (32.86624443469) to get x
100/32.86624443469=x
3.0426354370581=x
x=3.0426354370581

now we have:
159.47 is 3.0426354370581% of 5241.18