69.78 is what percent of 2025 - 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 2025 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 2025, so we can write it down as 100%=2025.
4. We know, that x% equals 69.78 of the output value, so we can write it down as x%=69.78.
5. Now we have two simple equations:
1) 100%=2025
2) x%=69.78
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%=2025/69.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 69.78 is what percent of 2025

100%/x%=2025/69.78
(100/x)*x=(2025/69.78)*x       - we multiply both sides of the equation by x
100=29.019776440241*x       - we divide both sides of the equation by (29.019776440241) to get x
100/29.019776440241=x
3.4459259259259=x
x=3.4459259259259

now we have:
69.78 is 3.4459259259259% of 2025