69.99 is what percent of 213.93 - 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 213.93 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 213.93, so we can write it down as 100%=213.93.
4. We know, that x% equals 69.99 of the output value, so we can write it down as x%=69.99.
5. Now we have two simple equations:
1) 100%=213.93
2) x%=69.99
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%=213.93/69.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 69.99 is what percent of 213.93

100%/x%=213.93/69.99
(100/x)*x=(213.93/69.99)*x       - we multiply both sides of the equation by x
100=3.0565795113588*x       - we divide both sides of the equation by (3.0565795113588) to get x
100/3.0565795113588=x
32.716309073061=x
x=32.716309073061

now we have:
69.99 is 32.716309073061% of 213.93