70 is what percent of 957.6 - 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 957.6 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 957.6, so we can write it down as 100%=957.6.
4. We know, that x% equals 70 of the output value, so we can write it down as x%=70.
5. Now we have two simple equations:
1) 100%=957.6
2) x%=70
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%=957.6/70
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 70 is what percent of 957.6

100%/x%=957.6/70
(100/x)*x=(957.6/70)*x       - we multiply both sides of the equation by x
100=13.68*x       - we divide both sides of the equation by (13.68) to get x
100/13.68=x
7.3099415204678=x
x=7.3099415204678

now we have:
70 is 7.3099415204678% of 957.6