4.34 is what percent of 55.98 - 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 55.98 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 55.98, so we can write it down as 100%=55.98.
4. We know, that x% equals 4.34 of the output value, so we can write it down as x%=4.34.
5. Now we have two simple equations:
1) 100%=55.98
2) x%=4.34
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%=55.98/4.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.34 is what percent of 55.98

100%/x%=55.98/4.34
(100/x)*x=(55.98/4.34)*x       - we multiply both sides of the equation by x
100=12.898617511521*x       - we divide both sides of the equation by (12.898617511521) to get x
100/12.898617511521=x
7.7527688460164=x
x=7.7527688460164

now we have:
4.34 is 7.7527688460164% of 55.98