5.24 is what percent of 4.18 - 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 4.18 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 4.18, so we can write it down as 100%=4.18.
4. We know, that x% equals 5.24 of the output value, so we can write it down as x%=5.24.
5. Now we have two simple equations:
1) 100%=4.18
2) x%=5.24
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%=4.18/5.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.24 is what percent of 4.18

100%/x%=4.18/5.24
(100/x)*x=(4.18/5.24)*x       - we multiply both sides of the equation by x
100=0.79770992366412*x       - we divide both sides of the equation by (0.79770992366412) to get x
100/0.79770992366412=x
125.35885167464=x
x=125.35885167464

now we have:
5.24 is 125.35885167464% of 4.18