2551.46 is what percent of 6970 - 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 6970 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 6970, so we can write it down as 100%=6970.
4. We know, that x% equals 2551.46 of the output value, so we can write it down as x%=2551.46.
5. Now we have two simple equations:
1) 100%=6970
2) x%=2551.46
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%=6970/2551.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2551.46 is what percent of 6970

100%/x%=6970/2551.46
(100/x)*x=(6970/2551.46)*x       - we multiply both sides of the equation by x
100=2.7317692615209*x       - we divide both sides of the equation by (2.7317692615209) to get x
100/2.7317692615209=x
36.60631276901=x
x=36.60631276901

now we have:
2551.46 is 36.60631276901% of 6970