347.23 is what percent of 2005.26 - 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 2005.26 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 2005.26, so we can write it down as 100%=2005.26.
4. We know, that x% equals 347.23 of the output value, so we can write it down as x%=347.23.
5. Now we have two simple equations:
1) 100%=2005.26
2) x%=347.23
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%=2005.26/347.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 347.23 is what percent of 2005.26

100%/x%=2005.26/347.23
(100/x)*x=(2005.26/347.23)*x       - we multiply both sides of the equation by x
100=5.7750194395646*x       - we divide both sides of the equation by (5.7750194395646) to get x
100/5.7750194395646=x
17.315959027757=x
x=17.315959027757

now we have:
347.23 is 17.315959027757% of 2005.26