299.01 is what percent of 333.77 - 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 333.77 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 333.77, so we can write it down as 100%=333.77.
4. We know, that x% equals 299.01 of the output value, so we can write it down as x%=299.01.
5. Now we have two simple equations:
1) 100%=333.77
2) x%=299.01
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%=333.77/299.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 299.01 is what percent of 333.77

100%/x%=333.77/299.01
(100/x)*x=(333.77/299.01)*x       - we multiply both sides of the equation by x
100=1.1162502926324*x       - we divide both sides of the equation by (1.1162502926324) to get x
100/1.1162502926324=x
89.585642807922=x
x=89.585642807922

now we have:
299.01 is 89.585642807922% of 333.77