349.31 is what percent of 980.42 - 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 980.42 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 980.42, so we can write it down as 100%=980.42.
4. We know, that x% equals 349.31 of the output value, so we can write it down as x%=349.31.
5. Now we have two simple equations:
1) 100%=980.42
2) x%=349.31
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%=980.42/349.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 349.31 is what percent of 980.42

100%/x%=980.42/349.31
(100/x)*x=(980.42/349.31)*x       - we multiply both sides of the equation by x
100=2.8067332741691*x       - we divide both sides of the equation by (2.8067332741691) to get x
100/2.8067332741691=x
35.628608147529=x
x=35.628608147529

now we have:
349.31 is 35.628608147529% of 980.42