4.21 is what percent of 0.525 - 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 0.525 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 0.525, so we can write it down as 100%=0.525.
4. We know, that x% equals 4.21 of the output value, so we can write it down as x%=4.21.
5. Now we have two simple equations:
1) 100%=0.525
2) x%=4.21
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%=0.525/4.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.21 is what percent of 0.525

100%/x%=0.525/4.21
(100/x)*x=(0.525/4.21)*x       - we multiply both sides of the equation by x
100=0.12470308788599*x       - we divide both sides of the equation by (0.12470308788599) to get x
100/0.12470308788599=x
801.90476190476=x
x=801.90476190476

now we have:
4.21 is 801.90476190476% of 0.525