93.79 is what percent of 1555.72 - 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 1555.72 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 1555.72, so we can write it down as 100%=1555.72.
4. We know, that x% equals 93.79 of the output value, so we can write it down as x%=93.79.
5. Now we have two simple equations:
1) 100%=1555.72
2) x%=93.79
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%=1555.72/93.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 93.79 is what percent of 1555.72

100%/x%=1555.72/93.79
(100/x)*x=(1555.72/93.79)*x       - we multiply both sides of the equation by x
100=16.587269431709*x       - we divide both sides of the equation by (16.587269431709) to get x
100/16.587269431709=x
6.0287198210475=x
x=6.0287198210475

now we have:
93.79 is 6.0287198210475% of 1555.72