1590.79 is what percent of 31997.76 - 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 31997.76 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 31997.76, so we can write it down as 100%=31997.76.
4. We know, that x% equals 1590.79 of the output value, so we can write it down as x%=1590.79.
5. Now we have two simple equations:
1) 100%=31997.76
2) x%=1590.79
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%=31997.76/1590.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1590.79 is what percent of 31997.76

100%/x%=31997.76/1590.79
(100/x)*x=(31997.76/1590.79)*x       - we multiply both sides of the equation by x
100=20.114383419559*x       - we divide both sides of the equation by (20.114383419559) to get x
100/20.114383419559=x
4.9715667596732=x
x=4.9715667596732

now we have:
1590.79 is 4.9715667596732% of 31997.76