31.54 is what percent of 1577.1 - 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 1577.1 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 1577.1, so we can write it down as 100%=1577.1.
4. We know, that x% equals 31.54 of the output value, so we can write it down as x%=31.54.
5. Now we have two simple equations:
1) 100%=1577.1
2) x%=31.54
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%=1577.1/31.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.54 is what percent of 1577.1

100%/x%=1577.1/31.54
(100/x)*x=(1577.1/31.54)*x       - we multiply both sides of the equation by x
100=50.003170577045*x       - we divide both sides of the equation by (50.003170577045) to get x
100/50.003170577045=x
1.9998731849597=x
x=1.9998731849597

now we have:
31.54 is 1.9998731849597% of 1577.1