342.88 is what percent of 1959.33 - 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 1959.33 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 1959.33, so we can write it down as 100%=1959.33.
4. We know, that x% equals 342.88 of the output value, so we can write it down as x%=342.88.
5. Now we have two simple equations:
1) 100%=1959.33
2) x%=342.88
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%=1959.33/342.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 342.88 is what percent of 1959.33

100%/x%=1959.33/342.88
(100/x)*x=(1959.33/342.88)*x       - we multiply both sides of the equation by x
100=5.7143315445637*x       - we divide both sides of the equation by (5.7143315445637) to get x
100/5.7143315445637=x
17.499859645899=x
x=17.499859645899

now we have:
342.88 is 17.499859645899% of 1959.33