302.7 is what percent of 1739.71 - 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 1739.71 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 1739.71, so we can write it down as 100%=1739.71.
4. We know, that x% equals 302.7 of the output value, so we can write it down as x%=302.7.
5. Now we have two simple equations:
1) 100%=1739.71
2) x%=302.7
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%=1739.71/302.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 302.7 is what percent of 1739.71

100%/x%=1739.71/302.7
(100/x)*x=(1739.71/302.7)*x       - we multiply both sides of the equation by x
100=5.7473075652461*x       - we divide both sides of the equation by (5.7473075652461) to get x
100/5.7473075652461=x
17.399451632743=x
x=17.399451632743

now we have:
302.7 is 17.399451632743% of 1739.71