75.4 is what percent of 159 - 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 159 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 159, so we can write it down as 100%=159.
4. We know, that x% equals 75.4 of the output value, so we can write it down as x%=75.4.
5. Now we have two simple equations:
1) 100%=159
2) x%=75.4
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%=159/75.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 75.4 is what percent of 159

100%/x%=159/75.4
(100/x)*x=(159/75.4)*x       - we multiply both sides of the equation by x
100=2.1087533156499*x       - we divide both sides of the equation by (2.1087533156499) to get x
100/2.1087533156499=x
47.421383647799=x
x=47.421383647799

now we have:
75.4 is 47.421383647799% of 159