70 is what percent of 5189 - 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 5189 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 5189, so we can write it down as 100%=5189.
4. We know, that x% equals 70 of the output value, so we can write it down as x%=70.
5. Now we have two simple equations:
1) 100%=5189
2) x%=70
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%=5189/70
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 70 is what percent of 5189

100%/x%=5189/70
(100/x)*x=(5189/70)*x       - we multiply both sides of the equation by x
100=74.128571428571*x       - we divide both sides of the equation by (74.128571428571) to get x
100/74.128571428571=x
1.349007515899=x
x=1.349007515899

now we have:
70 is 1.349007515899% of 5189