49.47 is what percent of 86.74 - 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 86.74 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 86.74, so we can write it down as 100%=86.74.
4. We know, that x% equals 49.47 of the output value, so we can write it down as x%=49.47.
5. Now we have two simple equations:
1) 100%=86.74
2) x%=49.47
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%=86.74/49.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.47 is what percent of 86.74

100%/x%=86.74/49.47
(100/x)*x=(86.74/49.47)*x       - we multiply both sides of the equation by x
100=1.7533858904386*x       - we divide both sides of the equation by (1.7533858904386) to get x
100/1.7533858904386=x
57.032510952271=x
x=57.032510952271

now we have:
49.47 is 57.032510952271% of 86.74