876.7 is what percent of 7970 - 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 7970 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 7970, so we can write it down as 100%=7970.
4. We know, that x% equals 876.7 of the output value, so we can write it down as x%=876.7.
5. Now we have two simple equations:
1) 100%=7970
2) x%=876.7
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%=7970/876.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 876.7 is what percent of 7970

100%/x%=7970/876.7
(100/x)*x=(7970/876.7)*x       - we multiply both sides of the equation by x
100=9.0909090909091*x       - we divide both sides of the equation by (9.0909090909091) to get x
100/9.0909090909091=x
11=x
x=11

now we have:
876.7 is 11% of 7970