49.35 is what percent of 89.72 - 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 89.72 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 89.72, so we can write it down as 100%=89.72.
4. We know, that x% equals 49.35 of the output value, so we can write it down as x%=49.35.
5. Now we have two simple equations:
1) 100%=89.72
2) x%=49.35
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%=89.72/49.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.35 is what percent of 89.72

100%/x%=89.72/49.35
(100/x)*x=(89.72/49.35)*x       - we multiply both sides of the equation by x
100=1.8180344478217*x       - we divide both sides of the equation by (1.8180344478217) to get x
100/1.8180344478217=x
55.004458314757=x
x=55.004458314757

now we have:
49.35 is 55.004458314757% of 89.72