91 is what percent of 1299 - 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 1299 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 1299, so we can write it down as 100%=1299.
4. We know, that x% equals 91 of the output value, so we can write it down as x%=91.
5. Now we have two simple equations:
1) 100%=1299
2) x%=91
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%=1299/91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 91 is what percent of 1299

100%/x%=1299/91
(100/x)*x=(1299/91)*x       - we multiply both sides of the equation by x
100=14.274725274725*x       - we divide both sides of the equation by (14.274725274725) to get x
100/14.274725274725=x
7.0053887605851=x
x=7.0053887605851

now we have:
91 is 7.0053887605851% of 1299