49.05 is what percent of 76 - 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 76 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 76, so we can write it down as 100%=76.
4. We know, that x% equals 49.05 of the output value, so we can write it down as x%=49.05.
5. Now we have two simple equations:
1) 100%=76
2) x%=49.05
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%=76/49.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.05 is what percent of 76

100%/x%=76/49.05
(100/x)*x=(76/49.05)*x       - we multiply both sides of the equation by x
100=1.5494393476045*x       - we divide both sides of the equation by (1.5494393476045) to get x
100/1.5494393476045=x
64.539473684211=x
x=64.539473684211

now we have:
49.05 is 64.539473684211% of 76