301.56 is what percent of 4501.56 - 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 4501.56 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 4501.56, so we can write it down as 100%=4501.56.
4. We know, that x% equals 301.56 of the output value, so we can write it down as x%=301.56.
5. Now we have two simple equations:
1) 100%=4501.56
2) x%=301.56
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%=4501.56/301.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 301.56 is what percent of 4501.56

100%/x%=4501.56/301.56
(100/x)*x=(4501.56/301.56)*x       - we multiply both sides of the equation by x
100=14.927576601671*x       - we divide both sides of the equation by (14.927576601671) to get x
100/14.927576601671=x
6.6990110095167=x
x=6.6990110095167

now we have:
301.56 is 6.6990110095167% of 4501.56