31.79 is what percent of 1954.99 - 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 1954.99 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 1954.99, so we can write it down as 100%=1954.99.
4. We know, that x% equals 31.79 of the output value, so we can write it down as x%=31.79.
5. Now we have two simple equations:
1) 100%=1954.99
2) x%=31.79
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%=1954.99/31.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.79 is what percent of 1954.99

100%/x%=1954.99/31.79
(100/x)*x=(1954.99/31.79)*x       - we multiply both sides of the equation by x
100=61.49701163888*x       - we divide both sides of the equation by (61.49701163888) to get x
100/61.49701163888=x
1.6260952741446=x
x=1.6260952741446

now we have:
31.79 is 1.6260952741446% of 1954.99