402.46 is what percent of 6939 - 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 6939 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 6939, so we can write it down as 100%=6939.
4. We know, that x% equals 402.46 of the output value, so we can write it down as x%=402.46.
5. Now we have two simple equations:
1) 100%=6939
2) x%=402.46
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%=6939/402.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 402.46 is what percent of 6939

100%/x%=6939/402.46
(100/x)*x=(6939/402.46)*x       - we multiply both sides of the equation by x
100=17.24146499031*x       - we divide both sides of the equation by (17.24146499031) to get x
100/17.24146499031=x
5.7999711774031=x
x=5.7999711774031

now we have:
402.46 is 5.7999711774031% of 6939